Question Help A flush in the card game of poker occurs if a player gets five car
ID: 3368774 • Letter: Q
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Question Help A flush in the card game of poker occurs if a player gets five cards that are all the same suit (dubs, diamonds, hearts, or spades). Complete parts (a) and (b) to obtain the probability of being dealt a flush in five cards. (a) Initially concentrate on one suit, say spades. There are 13 spades in a deck. Compute P(five spades)-P(first card is spades and second card is spades and third card is spades and fourth card is spades and fifth card is spades). Pfive spades)- (Round to six decimal places as needed.) (b) A flush can occur if a player receives five clubs or five diamonds or five hearts or five spades. Compute P(five clubs or five diamonds or five hearts or five spades). Note that the events are mutually exclusive. P(ive clubs or five diamonds or five hearts or five spades)- (Round to three decimal places as needed.) Enter your answer in each of the answer boxes Connect eblocExplanation / Answer
a)P(5 spades)=(13/52)*(12/51)*(11/50)*(10/49)*(9/48) =0.000495
b)P(flush)=P(5 spades)+P(5 club)+P(5 diamond)+P(5 heart)=4*0.000495=0.002
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