Question

Four persons work independently on a task. If the respective probabilities that they will solve it are 1/5, 1/3, 1/7, and 1/6, then the probability that none can solve it is ______

पर्याय

• `8/21`

• `3/7`

• `1/3`

• None of these

Answer 1

Four persons work independently on a task. If the respective probabilities that they will solve it are 1/5, 1/3, 1/7, and 1/6, then the probability that none can solve it is `underline(8/21)`.

Explanation:

Required probability

= `(1 - 1/5)(1 - 1/3)(1 - 1/7)(1 - 1/6)`

= `4/5 xx 2/3 xx 6/7 xx 5/6 = 8/21`