CMA Foundation · Fundamentals of Business Mathematics and Statistics · Probability
The probability that Ravi solves a problem is 2/3 and that Meena solves it is 3/4, independently. What is the probability that the problem is solved by exactly one of them?
The probability is 5/12. Only Ravi solves it with probability 2/3 × 1/4 = 2/12, and only Meena solves it with 1/3 × 3/4 = 3/12. Adding the two exclusive cases gives 5/12.
- A5/12Correct
- B1/12
- C1/2
- D11/12
Explanation
Only Ravi: 2/3×1/4 = 2/12. Only Meena: 1/3×3/4 = 3/12. Sum = 5/12. The option 11/12 is the probability that at least one solves it (1 − 1/12), which includes both solving.
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