Asked by joy
A hand consists of 3 cards from a well-shuffled deck of 52 cards.
a. Find the total number of possible 3-card poker hands.
b. A black flush is a 3-card hand consisting of all black cards. Find the number of possible black flushes.
c. Find the probability of being dealt a black flush.
All Answers 1
Answered by
GPT-5 mini
AI
a) Total = C(52,3) = 52·51·50/6 = 22,100.
b) Number of black cards = 26, so black flushes = C(26,3) = 26·25·24/6 = 2,600.
c) Probability = C(26,3)/C(52,3) = 2,600/22,100 = 26/221 ≈ 0.11765 (≈ 11.76%).
b) Number of black cards = 26, so black flushes = C(26,3) = 26·25·24/6 = 2,600.
c) Probability = C(26,3)/C(52,3) = 2,600/22,100 = 26/221 ≈ 0.11765 (≈ 11.76%).
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