Suppose that two cards are drawn without replacement from a well-shuffled deck. what is the probability that both cards have numbers and that the numbers on the cards are the same (note that only the numbers 2 through 10 are shown on cards, since aces, kings, queens, and jacks are represented by letters).

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Mathematics

Katrina Carr

26 November, 13:24

Suppose that two cards are drawn without replacement from a well-shuffled deck. what is the probability that both cards have numbers and that the numbers on the cards are the same (note that only the numbers 2 through 10 are shown on cards, since aces, kings, queens, and jacks are represented by letters).

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Dominique Lang · Answer 1

In a deck there are 40 cards which are shown in number. The probability P that the first card is a number is P (number) = 40/52. Then there are 3 cards of the same number left so the probability P is P (same number) = 3/51. Then you multiply (40/52) * (3/51) = 0.04525