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Bunuel
Five horses are in a race. Audrey picks two of the horses at random, and bets on them. What is the probability that Audrey picked the winner?

A. 1/10
B. 1/5
C. 2/5
D. 1/2
E. 3/5
Solution:

Let the 5 horses be A, B, C, D and E. There are 5C2 = 10 ways to choose 2 horses from 5. They are:

AB, AC, AD, AE, BC, BD, BE, CD, CE and DE.

For any winning horse, it appears in 4 of these 10 ways (for example, if horse C is the winner, it’s in AC, BC, CD, and CE). Therefore, the probability that Audrey picked the winning horse is 4/10 = 2/5.

Answer: C
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