A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is 1/2, 1/3 and 1/4

A problem in mathematics is given to three students A, B, C and their respective probability of solving the problem is 1/2, 1/3 and 1/4. Probability that the problem is solved is

  1. 1/3
  2. 1/2
  3. 3/4
  4. 2/3

Answer

Probability of solving problem by A, B and C are 1/2, 1/3 and 1/4 respectively.

Therefore, probability that the problem is not solved is given be

= (1-1/2) × (1-1/3) × (1-1/4)

= 1/2 × 2/3 × 3/4 = 1/4

Hence, the probability that the problem is solved is 1-1/4 = 3/4

The correct option is C.