WAEC Further Mathematics 2012 Question 38

Question 38

Probability

A box contains 4 red and 3 blue identical balls. If two balls are picked at random, one after the other without replacement, find the probability that one is red and the other is blue.

  1. A.4/7
  2. B.2/7
  3. C.1/7
  4. D.1/12
Show the answer and explanation

Answer: A (4/7)

Explanation

P(red then blue) + P(blue then red) = (4/7)(3/6) + (3/7)(4/6) = 2/7 + 2/7 = 4/7.