2004 · Q82
82. A person and his wife appear in the interview for the two vacancies of a post. The probability of the selection of the husband and that of the wife are 1/7 and 1/5, respectively. What is the probability that only one of them will be selected?
MathematicsProbability
- A1/7
- B1/5
- C2/7
- D11/35
Explanation
P(only the husband selected) = (1/7) × (4/5) = 4/35, and P(only the wife selected) = (6/7) × (1/5) = 6/35. Adding these mutually exclusive outcomes: 4/35 + 6/35 = 10/35 = 2/7.