5 card poker hand is dealt from a well-shuffled standard deck of 52 cards. Find the probability of being dealt a flush. (Flush: any five cards of the same suit, excluding straight and royal flushes). straight: 5 cards of sequential rank in the same suit royal flush: a straight of the top 5 cards of the same suit, A 10 J Q K
5 card poker hand is dealt from a well-shuffled standard deck of 52 cards. Find the probability of being dealt a flush. (Flush: any five cards of the same suit, excluding straight and royal flushes). straight: 5 cards of sequential rank in the same suit royal flush: a straight of the top 5 cards of the same suit, A 10 J Q K
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Question
A 5 card poker hand is dealt from a well-shuffled standard deck of 52 cards. Find the probability of being dealt a flush. (Flush: any five cards of the same suit, excluding straight and royal flushes).
straight: 5 cards of sequential rank in the same suit
royal flush: a straight of the top 5 cards of the same suit, A 10 J Q K
Expert Solution
Step 1
5 card poker game :
Well shuffled deck of 52 cards.
Total ways to select and arrange 5 cards from 52 cards.
NCr :
( 52 C 5) = (52*51*50*49*48)/20
= 2598960
Probability of being dealt with flush =?
Probability =
(favorable outcomes /total outcomes)
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