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The chance of getting 5 red cards if they deal you only 5 cards out of 52 is (1 in 13) times (1 in 12) times (1 in 11) times (1 in 10) times (1 in 9) or (1 in 154440).

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Q: What is the chance of getting 5 reds cards if they deal you only 5 cards out of 52?
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Continue Learning about Math & Arithmetic

What is the probability of dealing an ace king and queen in that order when dealing only three cards?

Assuming you mean from a standard 52-card deck of four suits, there is a 4/52 chance of first dealing an ace, a 4/51 chance of secondly dealing a king and a 4/50 chance of dealing a queen. Together, these mean there is a 64/132600, or 8/16575 or 0.04826546% chance of dealing the desired cards in order.


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The odds that the first card would be black is 50:50 or 1 out of 2, since there are 26 black cards out of 52. Now with 51 cards left, there are only 25 black cards still available, so the odds that the second card would be black is 25 out of 51. Multiply 1/2 by 25/51 and you get 25/102 or a 24.5% chance that you select 2 black cards out of a deck.


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