If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability of getting three queens and two kings.

Question

01-05-2017
Mathematics

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If you are dealt 5 cards from a shuffled deck of 52 cards, find the probability of getting three queens and two kings.

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mreijepatmat mreijepatmat · Answer 1 · 2017-05-01T05:25:34+02:00

mreijepatmat mreijepatmat

01-05-2017

To get a triplet : 13C1 * 4C3

To get a pair : 12C1 * 4C2

Total possibility = 52C5

P(full) = [(13C1 * 4C3) * 12C1 * 4C2] / 52C5

If my calculation is right, the P(full) =0.144%

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Stephaniereplogle Stephaniereplogle · Answer 2 · 2020-09-23T04:22:35+02:00

Stephaniereplogle Stephaniereplogle

23-09-2020

Answer:

24/2598960 or

0.000009234463 or

1/108290

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