JAMB Mathematics 2012 Question 49

Question 49

Probability

The probability that a student passes a Physics test is 2/3. If he takes three Physics tests, what is the probability that he passes two of the tests?

  1. A.4/9
  2. B.6/9
  3. C.4/27
  4. D.2/27
Show the answer and explanation

Answer: A (4/9)

Explanation

Exactly two passes can happen in 3 orders, each with probability (2/3)(2/3)(1/3) = 4/27. Total = 3 × 4/27 = 4/9.