Question 135683
I would like to know what the probability of taking three cards from a full deck of cards and having at least one jack,queen or king in the three cards. I have been told that the answer is 12/52 X 12/51 X 12/50 or about 70% and I feel that this is wrong. Please advise how to figure this out. Thank you.
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There are 12 cards in the jack/queen/king pool and 40 cards not in the pool.
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P(pick a jack or queen or king) = 1 - prob(no jack/queen/king) in three draws)
1 - (40C3/52C3) = 1-0.4470588... = 0.5529411...
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Cheers,
StanH.