Question 1067265: A five-card poker hand is dealt at random from a standard 52-card deck.
Note the total number of possible hands is C(52,5)=2,598,960.
Find the probabilities of the following scenarios:
(a) What is the probability that the hand contains exactly one ace? Answer= α/C(52,5), where α=_______
(b) What is the probability that the hand is a flush? (That is all the cards are of the same suit: hearts, clubs, spades or diamonds.) Answer= β/C(52,5), where β=_______
(c) What is the probability that the hand is a straight flush? Answer= γ/C(52,5), where γ=________
All help is very much appreciated! :) Thank you!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A five-card poker hand is dealt at random from a standard 52-card deck.
Note the total number of possible hands is C(52,5)=2,598,960.
Find the probabilities of the following scenarios:
(a) What is the probability that the hand contains exactly one ace? Answer= α/C(52,5), where α= 4C1 = 4
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(b) What is the probability that the hand is a flush? (That is all the cards are of the same suit: hearts, clubs, spades or diamonds.) Answer= β/C(52,5),
where β = 4*13C5
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(c) What is the probability that the hand is a straight flush? Answer= γ/C(52,5), where γ = (8 fluses*4 suits) = 32
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Cheers,
Stan H.
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