Kamal and Monica appeared for n interview for two vacancies. The probability of Kamal’s selection is 1/3 and that of Monika’s selection is 1/5. Find the probability that Both of them will be selected None of them will be selected At least one of them will be selected Only one of them will be selected.

Explanation

A/Q:

P( Kamal gets selacted )=P(A)`=frac{1}{3}`

P( Monica gets selected )=P(B)`=frac{1}{5}`

(i) P( both get selected )`=P(A) times P(B)
=frac{1}{3} times =frac{1}{15}`

(ii) P ( none of them get selected) `=P(bar{A}) times P(B)
=[1-P(A)][1-P(B)]`

`=(1-frac{1}{3})(1-frac{1}{5})`

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