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How many ways can 4 aces be drawn from a deck of cards?

How many ways can 4 aces be drawn from a deck of cards?

Yes you are correct: 52-4=48.

What is the probability that you randomly draw four aces consecutively from a standard deck of 52 cards without replacement?

25 (1/4). The chance of drawing one of the four aces from a standard deck of 52 cards is 4/52; but the chance of drawing a second ace is only 3/51, because after we drew the first ace, there were only three aces among the remaining 51 cards.

What is the probability that I receive all four aces?

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First choose one of the players – there are 4 ways to do this. Then the probability that this player gets all four aces is the probability that 13 cards chosen at random from 52 contain four aces, which is (489)(5213).

What is the probability of drawing 4 aces and 1 king?

b) There are (44)=1 way to choose the 4 aces, and there are (41)=4 ways to choose a king. So there are 1×4=4 ways to choose 5 cards such that 4 are aces and the other is a king card. The probability is: 42,598,960=1649,740.

What is the probability that a five card poker hand contains all the 4 aces?

If you have a standard deck of 52 cards, what is the probability that out of a hand of 5 cards you get 4 aces? Then the # of hands which has 4 aces is 48 (because the 5th card can be any of 48 other cards). So there is 1 chance in (2,598,960/48) = 54,145 of being dealt 4 aces in a 5 card hand.

What is the probability of drawing a 4 or ace from a deck of 52 playing cards?

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There are 52 cards, 4 of them aces. The probability the first card drawn is an ace is 4/52= 1/13. There are then 51 cards, 3 of them aces. The probability the second card drawn is an ace is 3/51= 1/17.

What’s the probability of picking an ace?

Answer: The probability of drawing a card from a standard deck and choosing a king or an ace is (1/13) × (4/51)

Does 4 aces beat a straight flush?

Four-of-a-kind, flushes, and straights are all strong hands in most variants of poker. Four-of-a-kind occurs the least out of the three hands, however, making it the winner against a straight or a flush.

What is the probability of drawing 4 aces from a deck?

If we draw four cards from 52 cards, then the total possible outcomes are C 4 52 4!. The number of outcomes that have four aces in a row is 4! Thus the probability of drawing 4 aces from a standard deck of 52 cards is 4!

How many possible outcomes have four aces in a row?

If we draw four cards from 52 cards, then the total possible outcomes are $C_4^{52} 4!$. The number of outcomes that have four aces in a row is $4!$

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What are the odds of drawing an ace of cards?

Chances of drawing ace 1st card is 4/52 or simplified 1/13. Fourth is 1/49. A standard deck contains 4 aces, so the probability of drawing one at random are 4 in 52, or 1 in 13. The probability of repeating this feat three more times is ( 1 13) 4 = 1 28 561 ≈ 0.0035 \%. The first draw is the same as Case 1: 4 in 52 (1 in 13).

How many possible positions for a stack of 4 Aces?

Possible positions for a stack of 4 aces in the {interstices + ends} of the 48 other cards = 49 against total possible positions for aces of ( 52 4) For the whole deck there are 52! permutations. Since the aces are supposed to appear in a row, we need locate only the first ace as we check the cards in the order they appear in the deck.