A probability of student A passing an examination is 2/9 and of student B passing is 5/9. Assuming the two events: A passes, B passes as independent, find the probability of : (i) only A passing the examination (ii) only one of them passing the examination.

Explanation

Given that,

`Rightarrow P(A_{P})`=P(A passing an examination )

`Rightarrow P(A_{P})=frac{2}{9}`

`Rightarrow P(A_{N})`=P(A Not passing an examination )

`Rightarrow {P}(A_{N})=1-frac{2}{9}`

`Rightarrow P(A_{N})=frac{7}{9}`

`Rightarrow P(B_{P})=`P(B passing an examination )

`Rightarrow P({B}_{P})=frac{5}{9}`

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