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