a poker player pick 5 cards randomly and gets 6 of hearts 7 spades 8 of diamond

Question

a poker player pick 5 cards randomly and gets 6 of hearts 7 spades 8 of diamond 9 of hear Q he discards Q and pick one more card. what is the probability that he will have a straight 5,6,7,8,9 ; 6,7,8,9,10 a poker player pick 5 cards randomly and gets 6 of hearts 7 spades 8 of diamond 9 of hear Q he discards Q and pick one more card. what is the probability that he will have a straight 5,6,7,8,9 ; 6,7,8,9,10 a poker player pick 5 cards randomly and gets 6 of hearts 7 spades 8 of diamond 9 of hear Q he discards Q and pick one more card. what is the probability that he will have a straight 5,6,7,8,9 ; 6,7,8,9,10

Explanation / Answer

If the experiment is done without replacement of cards after viewing, number of cards remaining in the deck = 47

Number of 10's = 4

P(getting a straight 6,7,8,9,10) = 4/47

If the cards are replaced after viewing P(getting a 10) and hence P(getting a straight  6,7,8,9,10) = 4/52 = 1/13

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