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Problem 7 - Entrance Test

A bag contains 3 red balls and 5 blue balls. Two balls are drawn at random without replacement. What is the probability that both balls are red?

Correct: A

The probability that the first ball is red is 3/8. Given that the first ball is red, the probability that the second ball is red is 2/7. So the probability that both balls are red is (3/8)*(2/7) = 6/56 = 3/28.