Mixed

What is the probability of getting 13 cards of same suit?

What is the probability of getting 13 cards of same suit?

GAMES WITH 13 CARDS. If you are dealt 13 cards, your chances of getting the following hands are: 13 spades (in any order): 1 in 635,013,559,600. 13 cards in the same suit (in any order): 1 in 158,753,389,900.

What is the probability that a 13 card Bridge hand consists of all cards from the same suit?

So the probability of getting at least one card in every suit is: [ C(52,13) – 4*C(39,13) ] / C(52,13) = 94.88\%.

How many different 13 card bridge hands are there?

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First, we calculate how many different Bridge hands are possible. A Bridge hand consists of 13 random cards taken from a deck that holds 52 cards. The total number of possible Bridge hands is thus: COMBIN(52, 13) = 635,013,559,600.

How many different thirteen card hands can be dealt from a standard deck?

There are 40 possibilities for the thirteenth card (because it can be anything except the ♦7, ♠K, ♣4, or any of the nine other cards already dealt). That means that the number of possible hands is 52×51×50×···×42×41×40 = 3954242643911239680000.

What is the probability that the last card dealt is an ace?

Just shuffle the deck and look at the 13th card. It will be an ace with probability 452. Just like the first card. One error is that the chance that an ace is last among 13 cards given that there is at least one ace is greater than 113 because you might have more than one ace.

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What is the probability of a jack in a deck of cards?

Find the probability of: In a playing card there are 52 cards. Number of favourable outcomes i.e. ‘2’ of spades is 1 out of 52 cards. Number of favourable outcomes i.e. ‘a jack’ is 4 out of 52 cards.

What is the probability of getting the same suit twice?

Your second card, has to be the same suit as your first card, so probability of that is 12 51 because there are 13 of each suite and you have to subtract 1 for the one card you have drawn.

What is the probability of getting a full hand with 52 cards?

So you have 52 choices out of 52 cards (because no matter what card you draw you can get a full hand of the same suite). Your second card, has to be the same suit as your first card, so probability of that is $\\frac{12}{51}$because there are 13 of each suite and you have to subtract 1 for the one card you have drawn.

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What is the probability of getting a full hand in blackjack?

Your first card can be anything. So you have 52 choices out of 52 cards (because no matter what card you draw you can get a full hand of the same suite). Your second card, has to be the same suit as your first card, so probability of that is 12 51 because there are 13 of each suite and you have to subtract 1 for the one card you have drawn.