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If 4 cards are drawn out of a deck of 52 what is the probability that the cards will be the same number in different suits?
Wiki User
∙ 12y ago
The probability that the first card will be something is 1 in 1. The probability that the second card will match the number of the first card is 3 in 51. The probability that the third card will match is 2 in 50. The probability that the fourth card will match is 1 in 49. Multiply all of these together, and you get 6 in 124950, or 3 in 62475, or 1 in 20825, or about 0.00004802.
This solution assumes that the "number" of the card includes the possibility of it being an Ace or a face card, so the stated probability is simply the probability of drawing a four of a kind with a draw of four cards.
Wiki User
∙ 12y ago
Wiki User
∙ 12y agoThe first card can by any suit, since you just same the "same suit."
Whatever the first card is, there are 51 cards left.
Also, whatever that card is, there is one less of that suit.
So we have (12/51)(11/50)(10/49)(9/48)=33/16660 which is about 0.001981
or about once every 500 hands.
The problem is not really any harder if you specify what suit it is. The first fraction become 13/52 and you multiply that by 12/51...etc as above.
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What is the probability of not drawing a diamond in a deck of 52 cards?
number of cards in a deck =52 number of cards that are not diamond =39 Probability that the card drawn is not a diamond= 39/52 = 3/4
What is the probability of drawing 3 specific cards in a 44 card deck when all the cards are different?
The answer can be found using the formula a-n, a representing the total number of elements, and n representing the number of specific elements drawn. In this case we have 44 cards with 3 drawn so we use 44-3 = 1/85184. The probability is 1 in 85,184
If four cards are to be drawn from a deck of 52 cards what is the probability that they are of the different suit?
The probability that all four of the cards are different suits is 13/17 * 13/25 * 13/49 = 2197/20,825 or 10.54982%.
If a card is drawn at random from an ordinary deck of cards what is the probability that it is a diamond or a four?
number of cards in a deck =52 number of cards that are diamond =13 number of cards that are four =4 number of cards that are diamond and four =1 Probability that the card drawn is a diamond or a four= 13/52+4/52 -1/52 =16/52 or 4/13
What is the probability of drawing two red queens in a pack of playing cards?
The answer depends on how many cards are drawn, whether that is with or without replacement, whether the cards are drawn at random. If only one card is drawn, the probability is 0. If 51 cards are drawn, the probability is 1. If two cards are drawn, at random, and the first is not replaced, the probability is (2/52)*(1/51) = 2/2652 = 0.00075, approx.
What is the probability of drawing two aces from a deck of 52 cards?
The answer depends on how many cards are drawn, and whether they are drawn with or without replacement. If 1 card is drawn, the probability is 0, if 50 cards are drawn (without replacement), the probability is 1. If only two cards are drawn, at random and without replacement, the probability is (4/52)*(3/51) = 12/2652 = 0.0045
If 5 cards are drawn from a deck of cards without replacement What is the Probability that at least One of the cards is a 3?
If five cards are drawn from a deck of cards without replacement, what is the probability that at least one of the cards is a heart?
What is the probability of drawing two black kings from a standard deck of 52 cards?
The probability depends on:whether the cards are drawn randomly,how many cards are drawn, andwhether the cards are replaced before drawing the next card.If only 2 cards are drawn randomly, and without replacement, the probability is 0.00075 approximately.
What is the probability of drawing a 6 or diamond from a deck of 52 cards?
The answer depends on how many cards are drawn and whether they are drawn at random. The probability that a single card, drawn at random from a deck of cards in 16/52 = 4/13.
What is the probability of a red face card is not drawn from adeck of cards?
The answer depends on how many cards are drawn and whether or not they are replaced afterwards.For a single card, drawn at random, the probability is 26/52 = 1/2.The answer depends on how many cards are drawn and whether or not they are replaced afterwards.For a single card, drawn at random, the probability is 26/52 = 1/2.The answer depends on how many cards are drawn and whether or not they are replaced afterwards.For a single card, drawn at random, the probability is 26/52 = 1/2.The answer depends on how many cards are drawn and whether or not they are replaced afterwards.For a single card, drawn at random, the probability is 26/52 = 1/2.
What is probability of a drawn card being a club?
The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.The answer depends on how many cards are drawn, whether or not at random, from an ordinary deck of cards, with or without replacement.The probability for a single card, drawn at random, from a normal deck of playing cards is 1/4.
What is the probability of picking a heart or diamond from a pack of playing cards?
number of cards in a deck =52 number of cards that are heart =13 number of cards that are diamond =13 Probability that the card drawn is a heart or a diamond=13/52 +13/52 =26/52 or 1/2
