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

ID: 3202955 • Letter: T

Question

Two cards are drawn randomly from a standard deck of 52 playing cards. You win $20 if these two cards contain at least 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)

0.058 Was Correct.

B) Referring to the information in Problem 8, you also win $5 if the two cards you drew contain one or more hearts. What's the probability that you will win anything, including the $20 described above?

???

Explanation / Answer

1. Prob of win=

13*(4C2)/52C2

2. Prob of win=

13*(4C2)/52C2 + 13C1/52C2

It's sum of probability

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