Compute the probability of randomly drawing five cards from a deck and getting 3 Aces and 2 Kings
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Answered by
19
The number of ways of getting 3 Aces and 2 Kings is (4C3)(4C2) = 24
The number of ways of drawing 5 cards from a deck of 52 cards is 52C5 = 2598960
P = 24/2598960 = 1/108290
Answered by
1
Given,
Number of cards drawn randomly = 5
Total cards in the deck = 52
To Find,
Probability of getting 3 aces and 2 kings =?
Solution,
Number of aces in the deck = 4
Number of kings in the deck = 4
Total number of observations = 56C5 = 2598960
Probability of getting 3 aces and 2 kings = (4C3 * 4C2) / 56C5
Probability of getting 3 aces and 2 kings = (4 * 6) / 2598960
Probability of getting 3 aces and 2 kings = 24 / 2598960
Hence, probablity is 24 / 2598960.
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