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Two cards are drawn randomly from a standard deck of 52 playing cards. You win $

ID: 3273466 • Letter: T

Question

Two cards are drawn randomly from a standard deck of 52 playing cards. You win $20 if these two cards contain any one pair (the cards are the same type ----- for example, both 3s or both kings ----- but not the same suit). What is the probability that you will win this $20? (Enter answer to 3 decimal places) Referring to the information in Problem 8, you also win $5 if the two cards you drew contain one or more or more hearts. What's the probability that you will win anything, including the $20 described above?

Explanation / Answer

Solution:-

8) The probability that you will win this $20 is 0.059.

Probability of choosing first card = 52/52 = 1

Probability of choosing same card = 3/51 (3 of them have the same rank as the card that was removed in first attempt )

The probability that you will win this $20 = 1 × 3/51 = 0.059

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