when three cards are drawn from a standard 52 card deck, let 'p' is the probability that they are all the same rank. Find value of p-1

pi
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What matter is that the last two cards are the same as the first one. the probability for the second is 3 51; for the third is 50 2 . 17 1 · 50 2 = 425 1 There are 4 total kings, so there are 4C3 = 4 combinations of 3 cards that have the property that all 3 cards are kings. Since there are 13 ranks, there are 13 · 4 = 52 combinations of 3 cards where all 3 cards are the same rank. There are 52 total cards, so there are 52C3 = 22100 total possible combinations of 3 cards. Therefore, the probability of drawing 3 kings is 22100 4 and the probability of drawing 3 cards of the same rank is 22100 52 . 
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