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There are 4 kings in a deck of 52 cards, so the probability of any one card being a king is 4/52 = 1/13.

The probability of getting at least one king is 1 - (12/13)5, in other words 1 minus the probability of not getting a king 5 times. This comes to 0.3298, or approximately 1 in 3.

If you want the probability of getting exactly 1 king, then the calculation is 5*(1/13)*(12/13)4 = 0.2792, or roughly 7/25.

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Q: Odds of getting a king in a five card poker hand?
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