Q: What is the probability of getting 4 of a kind given 13 cards from a deck of card?

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There are 3 face cards in a suit of 13 cards, so the probability is = 3/13.

The probability of getting a face card or a red card in a standard deck of 52 cards is (26 + 12 - 3) in 52 or 35 in 52 or about 0.6731.26 red cards, 12 face cards, and 3 red cards that are also face cards.

The probability of getting a red card out of a standard 52 card deck is 26 in 52, or 0.5. The probability of getting a second red card is 25 in 51, or 0.490, because one red card is missing, and the deck is short by one card. The probability of getting a black card next is 26 in 50, or 0.52, because the deck is short by two cards, but all the black cards are there. Multiply these probabilities together, and you get about 0.127, or about 1 in 8, so the probability of getting 2 red cards and then a black card in a random 52 card deck is about 1 in 8.

There are 36 number cards, 12 face cards, and 4 aces. So the probability of your first card from a full pack being a number card is 36:16, or 9:4.

There is a .53846 probability (53.846%) if aces are counted as face cards. If they are not counted the probability drops to .48077 (48.077%)

Related questions

number of queen card = 4 number of cards in a deck of cards = 52 Probability of getting a queen card = 4/52 or 1/13

There are 3 face cards in a suit of 13 cards, so the probability is = 3/13.

The probability of getting a face card or a red card in a standard deck of 52 cards is (26 + 12 - 3) in 52 or 35 in 52 or about 0.6731.26 red cards, 12 face cards, and 3 red cards that are also face cards.

Given that it is a king, the probability that it is a face card is 100%. All Kings are face cards.

There are 6 black face card in a deck of 52 cards, so the probability of getting a black face card is 6/52 = 3/26

The probability of getting a red card out of a standard 52 card deck is 26 in 52, or 0.5. The probability of getting a second red card is 25 in 51, or 0.490, because one red card is missing, and the deck is short by one card. The probability of getting a black card next is 26 in 50, or 0.52, because the deck is short by two cards, but all the black cards are there. Multiply these probabilities together, and you get about 0.127, or about 1 in 8, so the probability of getting 2 red cards and then a black card in a random 52 card deck is about 1 in 8.

There are 36 number cards, 12 face cards, and 4 aces. So the probability of your first card from a full pack being a number card is 36:16, or 9:4.

There is a .53846 probability (53.846%) if aces are counted as face cards. If they are not counted the probability drops to .48077 (48.077%)

It is 1/4.

It is a certainty - if you select enough cards.

There are 6 black face cards in a standard deck of 52 cards, so the probability of drawing a black face card in one try is 6/52 = 0.115

The probability of drawing two red cards with replacement is (1 in 2)2 or (1 in 4) or 0.25