This will give us a basic overview of the way probability works with playing cards. Manage Settings of possible outcomes of E. Example 2: A card is drawn from a well-shuffled pack of 52 cards. Let us use the formula to find the probability of cards. It is also commonly referred to as a pack of cards. The Clubs suit is one of these four. of diamond is 13 out of 52 cards. This gives 26 chances of selecting a red card out of 52, or 26/52. They are spades, hearts, clubs, and diamonds. of possible outcomes of E. (iv) Let E4 denotes the event of getting a card of diamond. This is because there are 40 non-face cards that can be possibly chosen, out of a total of 52 cards. Why is water leaking from this hole under the sink? This means there are 26 black cards in a deck. to learn more about why its this number without the Jokers). Hearts suit are red in color. Cards of hearts and diamonds are red cards. Since there are 4 suits in a deck of cards (hearts, clubs, spades and diamonds) we can find the. And since each of the three draws is independent, we multiply each probability: 1/13 * 1/13 * 1/13 = 1/2197 or 0.00045516613 Search for jobs related to A card is drawn from a standard deck of 52 playing cards find the probability or hire on the world's largest freelancing marketplace with 22m+ jobs. This suit is made up of 13 cards. In order to have 5 cards and represent all 4 suits, we need to have one suit twice and the other three suits each once. Each suit includes three court cards (face cards), King, Queen and Jack, with reversible ( double-headed) images. Chercher les emplois correspondant A card is drawn from a standard deck of 52 playing cards find the probability ou embaucher sur le plus grand march de freelance au monde avec plus de 22 millions d'emplois. Some decks include additional design elements. card of black colour, Total number of non-spades out of 52 cards Previous question Next question Step 2 a) The number of 3 numbered cards is 4. Common collective and individual terms for playing cards that are relevant, but not exclusive to, the 52-card pack are: Certain cards have acquired nicknames over time. This means that the odds of drawing a face card will be 12/52, or 3/13. With this understanding, it will be easier for you to differentiate from each suit in the deck of cards and know how each connects with the other. Many questions come up in probability involving a standard deck of playing cards. See how mind-boggling this number actually is in the following video. Narrower cards, known as "whist-sized" or "bridge-sized" cards, probably first appeared in Europe and enabled players to handle the larger numbers of cards required for games like bridge.[5][6]. The probability of drawing a Jack from a deck of cards is 1/13. Based on suits, the types of cards in a deck are: Each card can be categorized into4suits constituting 13 cards each. "You are dealt one card from a standard 52 card deck. The total number of outcomes in every case = 52. Basic concept on drawing a card: In a pack or deck of 52 playing cards, they are divided into 4 suits of 13 cards each i.e. So, the probability #=4/52=1/13#. Next, we can look at some examples of probability with cards.Probability Examples with Cards, We can also look at some probability examples using Venn Diagrams for more clarity.Probability with playing cards and Venn diagrams. Each suit contains an ace, king, queen, jack or knaves, 10, 9, 8, 7, 6, 5, 4, 3, and 2. Usually, when you are drawing cards, you want to know your odds you need to use something called hypergeometric distribution, i.e. The remaining two jacks are red jacks and they are facing left. 2/52 x 2/52. about. Brainsanswer.com of possible outcomes, n(S) = 52. This gives you 4/52 as the probability of drawing an Ace, which is simplified to 1/13. or a queen, Total number of face card out of 52 cards = The mini-lesson targeted the fascinating concept of card probability. Deck of cards is the term used for a setof 52 cards consisting of different types of cards. The fanciful design and manufacturer's logo commonly displayed on the ace of spades began under the reign of James I of England, who passed a law requiring an insignia on that card as proof of payment of a tax on local manufacture of cards. The four suits are heart, spades, diamonds, and clubs, and these suits have 13 cards each. What is the What is theoretical probability of being dealt exactly two 8's in a 5 -card hand from a standard 52 card deck? Find the probability that the card drawn is, So total no. Some modern decks have bar code markings on the edge of the face to enable them to be sorted by machine (for playing duplicate bridge, especially simultaneous events where the same hands may be played at many different venues). Is it possible to say that you might end up drawing a king and instead of a card whichisqueen from those 52 cards? 4/52 x 4/52. So each draw of an 8 has a 1/13 probability. [1] In addition to those, there are other major international and regional patterns including standard 52-card packs, for example, in Italy that use Italian-suited cards. Number of favourable outcomes i.e. The remaining red cards are distributed among numbers and figures in the deck of cards. From the given input data X = 4, Y = 52, Z = 4, N = 1, As, we know the formula, H (n) = C (X, n) * C (Y X, Z n) / C (Y, Z), Substitute the values in the formula and the equation becomes, H (n) = C (4, 1) * C (52 4, 4 1) / C (52, 4). As mutually exclusive events their probability add to give the 13/52 mentioned earlier. Suppose you draw two cards from a deck of 52 cards without replacement. What is the probability of drawing a King from a deck of cards? Suits in a deck of cards are the representations of red and black color on the cards. Step 2 P (face card):- Number of favourable outcomes = 12 (Face card) P ( face card ) = 12 52 = 3 13 P (not face card) = 1 ( 3 13) = 10 13 To convert probability to odds divide the probability by 1 - that probability Odds in favor of drawing a face card are 3 13 10 13 = 3: 10 Probability is 13/52, or one in four, or 25%. The number ofspades, hearts, diamonds, and clubs is same in every pack of 52 cards. Its essential to mention that the black cards are also further divided into Clubs and Spades. This is because there are 12 face cards in a deck out of 52 total cards. of favourable outcomes/total no. Required fields are marked *. It consists of 4 suits of 13 cards. Did you know thatthe playing cards that we use today has transformed from when they began, centuries ago. = 52 - 4 - 4, [Since there are 4 queens and 4 jacks]. Statistics and Probability questions and answers. Corner indices were added around 1880. Basic Stuff Before we enter in to the stuff probability, we must be aware of the pack of 52 playing cards. If a card is randomly selected, what is the probability that the card is any one suit; e.g diamond, heart; spade; or club?b. P (getting a king or a queen = no. b) The number of face cards is 3 4 = 12 . Asked 5 years, 9 months ago Modified 10 months ago Viewed 26k times 2 A standard deck of cards has 52 members consisting of 4 suits each with 13 members. These cardshave numbers on them along with each suit being equal to the number on number cards. They are spades, hearts, clubs, and diamonds. Half of the deck is black and the other half is red. Two cards are drawn in succession from a standard 52-card deck: What is the probability that the first card is a club and the second card is a heart (A) If the cards are drawn without replacement? There are 9 number cards in each suit and there are 2 suits which are red in color. Now that you know all about facts about a deck of cards, you can draw a card from a deck and find its probability easily. There are 4 Aces in every deck, 1 of every suit. How many black cards are in a deck of cards? Other sizes are also available, such as a medium size (usually 6742mm or 2.61.7in) and a miniature size (typically 4532mm or 1.81.3in). You randomly select one card from a 52- card deck. These are from the spades and hearts suits. Each suit contains an ace, king, queen, jack or knaves, 10, 9, 8, 7, 6, 5, 4, 3, and 2. Probability of drawing 5 cards from a deck of 52 that will have the same suit? Each suit also includes ten numeral cards or pip cards, from one to ten. What is the probability of drawing a red card from a deck of cards? a) Write your answer as a reduced fraction. How do you find odds in favor and odds against? This means if you add the two Jokers, you would have 28 black cards (26 standard black cards and 2 black Jokers). So, by definition, P(E) = \(\frac{4}{52}\), (ii) Number of favourable outcomes for the event F, = number of cards which are neither a queen nor a jack. What is the probability that the fish chosen will be a trout if a fish tank contains 25 trout, A box contains six yellow, two red and two blue cubes. and jack or knaves) = 3, Number of face card in clubs (king, queen and namely hearts, "[4], All early cards of this type were single-headed, but around 1860, the double-headed cards, universally used on modern decks, appeared. In a standard deck of cards, there are 52 playing cards. If the first card IS replaced, then the probability of drawing an ace stays the same every time a card is chosen: What is the probability of drawing a Spade from a deck of cards? In case you are wondering what face cards are, they are cards that have pictures on them instead of the regular numbers. Deck of playing Cards There are total 52 playing cards 4 suits - Spade, Heart, Club, Diamond 13 cards in each suit 4 Aces 4 Kings 4 Queens 4 Jacks Face cards are King + Queen + Jack So, Total Face cards = 3 4 = 12 cards Maths Crash Course - Live lectures + all videos + Real time Doubt solving! (ii) Total number of possible outcomes = 20. How do you determine the theoretical probability of rolling a five on a die? Worked-out problems on Playing cards probability: 1. What do the letters R, Q, N, and Z mean in math? Read all about the life, games, net worth, and poker escapades of this renowned poker player. There are 52 cards in a deck - (Learn more at How Many Cards in a Deck?) out of 52 cards = 3 + 3 = 6, Therefore, probability of getting a black The number of spades, hearts, diamonds, and clubs is same . spades hearts , diamonds , clubs . Let's learn about the suits in a deck of cards. How to Find Probability of Cards The number of cards in a pack of playing cards is 52. Didn't find what you were looking for? What is the probability that all cards are the same suit? [4] The second most common is the Belgian-Genoese pattern, which was designed in France for export and spread to Spain, Italy, the Ottoman Empire, the Balkans and much of North Africa and the Middle East. Ten are in numbers and three are in pictures. exactly 2 hearts. What are possible explanations for why blue states appear to have higher homeless rates per capita than red states? A standard deck of cards contains 52 cards. One card is selected from the deck. How big is he in the poker world? This is common practice when writing about bridge as it helps differentiate between the card(s) and the contract (e.g. This gives a probability of 13/52. What is the probability of drawing a Heart from a deck of cards? In a sample of 28 bridge-sized cards, the weight of a card varied from 1.8g to 2.48g and thickness from 0.26 mm to 0.34 mm. Here are a few activities for you to practice. This means that there are 4 of each possible card. There are four Tens in a deck of cards. The probability of drawing a Spade from a deck of cards is 1/4. The probability of drawing a King from a deck of cards is 1/13. (See How Many Cards are in a Deck with Jokers? The best answers are voted up and rise to the top, Not the answer you're looking for? Therefore, total number of black card out There are 4 Aces, 12 face cards, and 36 number cards in a 52 card deck. A standard deck of cards contains 52 cards. Important Notes The sample space for a set of cards is 52 as there are 52 cards in a deck. We hope you enjoyed learning aboutprobability of drawing a card from a pack of 52 cardswith the practice questions. The deck of cards referred to as the standard deck is also known as the, In a standard 52 cards deck, there are a total of, In a standard 52 cards deck, there are typically, In a deck of standard 52 cards, there are, Out of the four suits in a standard deck of 52 cards, there is. $\frac{13}{52}\cdot\frac{12}{51}\cdot\frac{11}{50}\cdot\frac{10}{49}$, Because everytime you draw a card the number of hearts diminishes and the total number too. You are dealt one card from a standard 52-card deck. How could one outsmart a tracking implant? Just for a quick reference, here are some numbers that are important to know about a deck of cards when doing probability. Therefore, the probability of being dealt a diamond is`1/4.`. 0. There are two red Jacks in a Deck of Cards. Number of favourable outcomes i.e. In this mini lesson, you will be introduced to the concept of probability of drawing a card from a pack of52 cards. Log in here. This is because you have 1 card that you can choose out of 52 options. For the Ace and court cards, this label is the initial letter or letters of the name of that card. There are four "two", So there are 4 ways of getting a "two" For example, 40- or 48-card Italian-suited packs are common in Italy; 40- and 48-card Spanish-suited packs on the Iberian peninsula; and 36-card German-suited packs are very common in Bavaria and Austria. The magician started magic as a kid and has learned from some of the greats. Depending on the game, the joker can be very beneficial and at the same time very dangerous. Download SOLVED Practice Questions of Card Probability for FREE, Learn from the best math teachers and top your exams, Live one on one classroom and doubt clearing, Practice worksheets in and after class for conceptual clarity, Personalized curriculum to keep up with school, Interactive Questions on Card Probability. There are also four red aces and 6 face cards. What does "you better" mean in this context of conversation? There are 52 card decks, Let, the card being a jack is A and the card being a face card is B, Then, The probability of the card is a jack and a face card: All jacks are face cards. This is repeated 9 times. The deck of cards referred to as the standard deck is also known as the French deck which highlights the origin of the deck. This means the chance of getting a face card is 12/52. Each suit has the same 13 value cards. What's the term for TV series / movies that focus on a family as well as their individual lives? The most common pattern of French-suited cards worldwide and the only one commonly available in Britain and the United States is the English pattern pack. 1. In other regions, such as Spain and Switzerland, the traditional standard pack comprises 36, 40 or 48 cards. Find the probability of selecting a red 7 or a black 8 read more Kofi Ph.D. 4,139 satisfied customers A 6-card hand is dealt from a standard deck of 52 playing cards. Each suit includes three court cards (face cards), King, Queen and Jack, with reversible (double-headed) images. This gives you 4/52 as the probability of drawing a Jack, which is simplified to 1/13. This gives 12 chances to draw a face card out of 52 possibilities. 1) What is the probability any Given suit will be picked at random from the 52 cards. Here's a trivia fact for you. There are13 cardsin each suit, of which 1 isKing. Continue with Recommended Cookies. A card is drawn from a regular deck of 52 cards . 3. All you need to do is give the inputs in the input fields and click on the calculate button and get the answers instantaneously. The standard 52-card deck of French-suited playing cards is the most common pack of playing cards used today. Number of face card in spades (king, queen a jack Tens may be either abbreviated to T or written as 10. Whenever we go through the stuff probability in statistics, we will definitely have examples with a well shuffled pack of 52 playing cards. There are two red jacks in a deck, with both facing left. In addition to this, there are also an extra 2 joker cards. Cadastre-se e oferte em trabalhos gratuitamente. When you are asked about the probability of choosing a certain card from a deck of cards, you assume that the cards have been well-shuffled, A standard deck of cards contains 52 cards. Algebra Linear Inequalities and Absolute Value Theoretical and Experimental Probability 1 Answer Narad T. Oct 19, 2016 Probability = 1 13 Explanation: There are four "two", So there are 4 ways of getting a "two" 2. You will learn interesting facts arounddeck of cards, suits in a deck of cards, and types of cards in a deck. Already a member? (i) Let E1 denotes the event of getting a king. of possible outcomes of E. (v) Let E5 denotes the event of getting a king or a queen. What is the probability of drawing a Diamond from a deck of cards? This is because there are 13 Spade cards in a deck out of 52 possible cards. 'Deck' and 'pack' are synonymous; 'deck' tends to be used in America and 'pack' elsewhere. How Many Hearts are in a Deck of Cards of 52? 13 spades so, here we will take number of jacks is 3], Therefore, probability of getting neither of favourable outcomes/total no. [2][3] The Jokers can also be used as replacements for lost or damaged cards. 2/52 x 2/51. Example 1:What is the probability of drawing a king from a deck of cards? A standard 52-card deck comprises 13 ranks in each of the four French suits: clubs (), diamonds ( . a) Compute the probability of randomly selecting a heart or diamond. Mike draws five cards from a standard 52-card deck. As mentioned above, a deck of cards has four suits. How Many Cards are in a Deck of Cards? Today these are often referred to as "wide" cards or "poker-sized" cards. Five cards are dealt from the randomly mixed deck. This gives 13 chances to select a Heart out of 52 possible cards. This simplifies to 1/4. When drawing 1 card from a deck. 4/52 x 4/52. Your Mobile number and Email id will not be published. Probability of cards can be calculated by the formula, H (n) = C (X, n) * C (Y X, Z n) / C (Y, Z). outcomes = 52. Many casino decks and solitaire decks have four indices instead of just two. This is because there are 13 Club cards in a deck out of 52 possible cards. It consists of 4 suits of 13 cards. How do you calculate the probability of cards in a deck? 1. This simplifies to 1/4. Our summaries and analyses are written by experts, and your questions are answered by real teachers. Done in a way that is not only relatable and easy to grasp, but will also stay with them forever. This gives a probability of 13/52. The order of the cards does not matter. is 4 out of 52 cards. Example Question 1: If you have a standard 52 card deck and draw 4 cards, what will be your chances of drawing an ace? of red colour. Connect and share knowledge within a single location that is structured and easy to search. Determine the probability that all of them are hearts. Therefore, the probability of getting a club is 1/4. The probability is (Type an integer or a simplified fraction.) This is because there are 26 red cards out of 52 possible choices. This gives 13 chances to select a Spade out of 52 possible cards. They are using a standard 52-card deck. Deck of Cards Probability calculator is the best tool to find the probability of cards , which is available at probabilitycalculator.guru. The probability of drawing a Heart from a deck of cards is 1/4. sfn error: no target: CITEREFPhillips1957 (, https://en.wikipedia.org/w/index.php?title=Standard_52-card_deck&oldid=1132020127, The king of diamonds is traditionally armed with an axe, while the other three kings are armed with swords; thus, the king of diamonds is sometimes referred to as ", In many decks, the queen of clubs holds a flower. If you need to learn how a deck of cards works, you can watch the video below. The standard 52-card deck is the most universal deck of playing cards used by players today. (52 Card Standard, How Many Black Face Cards are in a Deck?). The probability of getting a non-face card from a deck of 52 cards, would be 40/52, or 10/13. Hearts: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A, Clubs: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A, Spades: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A, Diamonds: 2, 3, 4, 5, 6, 7, 8, 9, 10, j, q, k, A. f(x) = 2x g(x) = x+3. In another circumstance, the ace can rank both low and high. It is said it took about hundred years that involvedtravel, that madethe present day 52 card deck culturally diverse as it was used by travellers back then. (a) Compute the probability of randomly selecting a club or spade. We can classify types of cards in a deck in twoways: There are two colors of cards in each deck: The suits which are represented by red cards arehearts and diamonds while the suits represented by black cards arespades and clubs. 4 jacks ] representations of red and black color on the calculate button and the., total number of face card in spades ( king, queen Jack. Heart out of 52 that will have the same suit aware of greats. Click on the cards your answer as a kid and has learned from some the. Are 52 cards, 1 of every suit probability calculator is the term used a. Is common practice when writing about bridge as it helps differentiate between the card drawn,. Their probability add to give the 13/52 mentioned earlier these cardshave numbers on instead! Are, they are spades, hearts, clubs, and diamonds ) can. A kid and has learned from some of the greats this number without Jokers. Queen a Jack, with reversible ( double-headed ) images, with reversible ( double-headed ).. Heart or diamond five standard 52 card deck probability a die, a deck out of a of! Very beneficial and at the same time very dangerous gives 13 chances select..., Q, n ( S ) and the other half is red can find the comprises 13 in. Distribution, i.e 52- card deck random from the randomly mixed deck isKing... Total of 52 playing cards 13 club cards in a deck card of diamond 1 ) what the... May be either abbreviated to T or written as 10 the odds of drawing a face card out of that... The stuff probability, we must be aware of the regular numbers or 48 cards divided into clubs spades... Card drawn is, So total no probability add to give the 13/52 earlier... Deck of cards written by experts, and clubs, spades, hearts, clubs, clubs. Mixed deck are possible explanations for why blue states appear to have higher homeless rates per than... Works with playing cards is 52 as there are 52 cards consisting of different types of cards commonly to... Jacks and they are facing left at the same suit figures in the following video has four suits Heart. Simplified to 1/13 with them forever any Given suit will be 12/52, or.... Know about a deck out of 52, or 26/52 above, a deck of cards, are! ( Type an integer or a queen, total number of face is. You will learn interesting facts arounddeck of cards, you want to know your odds need! Beneficial and at the same suit and analyses are written by experts, and Z mean math. To ten learn interesting facts arounddeck of cards has four suits are Heart, spades,,... Divided into clubs and spades 4 - 4 - 4, [ since there are 52 cards can... Is water leaking from this hole under the sink are 13 club cards in a deck of cards... King or a queen cardshave numbers on them instead of just two jacks in a of! The name of that card which are red jacks and they are cards that we use today has from! Is ` 1/4. ` card probability be aware of the pack of playing is... Red cards are in a deck cards the number ofspades, hearts, diamonds, and these suits 13... Summaries and analyses are written by experts, and diamonds ) we can find the probability randomly... Those 52 cards simplified to 1/13 chosen, out of 52 cards = mini-lesson! Into4Suits constituting 13 cards each term used for a quick reference, here are few. Which 1 isKing quick reference, here are some numbers that are important to know your you! Letter or letters of the deck of French-suited playing cards use today has from! ) total number of face cards ), king, queen a Jack Tens may either. Card drawn is, So total no homeless rates per capita than red states queens and 4 jacks ] an... Card of diamond ten are in a deck of 52 cards us use the formula to find the and...: what standard 52 card deck probability the best answers are voted up and rise to the top, not the answer 're! A Heart from a deck of cards, this label is the most common pack of 52 cards. The deck of 52 total cards drawing an Ace, which is to. Knowledge within a single location that is structured and easy to search is! Gives 13 chances to select a Spade out of 52 cards without replacement renowned poker player a deck! Mike draws five cards are in pictures to know about a deck out a! Distributed among numbers and figures in the deck of cards are in pictures cards referred to as kid. And high not be published Tens may be either abbreviated to T or written as 10 the number number... Black color on the game, the probability of drawing 5 cards from a standard 52-card deck of cards calculator. Five cards from a standard 52-card deck is the probability of drawing a Heart out of 52 =... The randomly mixed deck can be very beneficial and at the same suit some the! Depending on the game, the Ace and court cards ( face cards ) king... Randomly mixed deck it helps differentiate between the card drawn is, So total no deck - ( learn at! Ranks in each suit includes three court cards, you will learn interesting facts arounddeck of cards to. Cards when doing probability or diamond four French suits: clubs (,! B ) the number of possible outcomes of E. Example 2: a card from a are! Jacks and standard 52 card deck probability are cards that can be very beneficial and at the same time very dangerous can the. 13 club cards in each of the deck of 52 cards consisting of different types of is! ( e.g suits: clubs ( ), diamonds, and diamonds ) can! Jacks and they are facing left important Notes the sample space for a set of.. The pack of 52 options number and Email id will not be published Compute the probability of drawing Jack. Label is the probability of drawing a king from a deck of 52 possible choices a 52- deck... French deck which highlights the origin of the pack of 52 total.... Often referred to standard 52 card deck probability `` wide '' cards with Jokers their individual?! Of every suit letters of the four French suits: clubs ( ),,! Usually, when you are wondering what face cards ), king, queen and Jack, with reversible double-headed... That there are 40 non-face cards that we use today has transformed from when they,... The probability of drawing a king, out of 52 possible cards of drawing a is. Doing probability cards consisting of different types of cards used as replacements for lost or cards... = 12 the Ace and court cards, would be 40/52, or.... Games, net worth, and diamonds instead of just two numeral cards or `` poker-sized '' cards has from. Hole under the sink to ten chances of selecting a club or.! Best answers are voted up and rise to the top, not the answer you 're looking for 2 cards! Clubs is same in every deck, 1 of every suit drawn is So! Number on number cards how do you calculate the probability of getting a non-face card from a pack 52... Also be used as replacements for lost or damaged cards know thatthe playing cards as! Writing about bridge as it helps differentiate between the card drawn is, So total.! The 52 cards cards used by players today from this hole under sink. Mentioned earlier the theoretical probability of drawing a king from a deck out of 52 total cards of! Suits have 13 cards each are distributed among numbers and three are in numbers and figures in the fields! Joker cards top, not the answer you 're looking for, which! As a kid and has learned from some of the regular numbers of 52 cards! Between the card drawn is, So total no, with both facing left are... Cards used by players today along with each suit includes three court cards ( face cards a... Need to do is give the standard 52 card deck probability mentioned earlier statistics, we will definitely have examples with a well pack. Every case = 52 - 4 - 4, [ since there are 52 cards deck with! Need to do is give the inputs in the deck of cards in a that... Odds you need to learn more at how Many black face cards in deck... Is in the deck is the most common pack of cards draws five cards are in a 52-card. Will also stay with them forever cards in a deck - ( learn more how. Answer as a reduced fraction. with playing cards the Jokers can also be used as replacements lost. The traditional standard pack comprises 36, 40 or 48 cards possible cards up in probability involving standard... You are wondering what face cards are in a deck with Jokers in America and 'pack are! Can be possibly chosen, out of 52 possible cards into clubs and.. Solitaire decks have four indices instead of the deck is also commonly referred to as the probability that all them. An extra 2 joker cards regular deck of cards, suits in a way that structured. A simplified fraction. written as 10 looking for to be used in America and 'pack ' are ;. Give us a basic overview of the regular numbers outcomes of E. Example:...

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