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What happened to sevens?
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Asked in Moving
What is the sentence for idiom at sixes and sevens?
Asked in Board Games, Statistics, Probability
Five cards are dealt at random from a regular deck of 52 playing cards Find the probability that three are sevens?
First, determine the probability of three sevens and two non-sevens, then worry about the permutations. The probability is the number of sevens, sevens minus one, sevens minus two, non-sevens, and non-sevens minus one; all over the number of cards left in the deck with each draw. The permutations of this configuration are 10 (you can verify this by arranging five cards as desired). P(exactly three sevens) = 10*(4/52)(3/51)(2/50)(48/49)(47/48) = (47)/(13*17*25*49) = 47/270,725 Those are pretty small odds, haha.