A bag contains 5 red balls and 3 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 5/8. Given that the first ball is red, there are now 4 red balls and 3 blue balls, for a total of 7 balls. The probability that the second ball is red is 4/7. The probability that both balls are red is (5/8) * (4/7) = 20/56 = 5/14.