Fatima and John appear in an interview for two vacancies for the same post. The probability of Fatimas selection is `1/7` and that of Jonhs selection us `1/5dot` what is the probability that Both of them will be selected? Only one of them will be selected? None of them will be selected?

Explanation

P( Fatima gets selected )`=P(A)=frac{1}{7}`

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

(i) P( both of them get selected )`=P(A cap B)`


`=P(A) times P(B) `

`=frac{1}{7} times frac{1}{5}=frac{1}{35}`


(ii) P ( only one of them gats selected )`=P(A) times P(B)+P(bar{A}) times P(B)`

...