1.

A lottery sells n^(2) tickets and declares n prizes. If a man purchases n tickets, the probability of his winning exactly one prize is ……

Answer»

`1-(.^(N^(2)-n)C_(n))/(.^(n^(2))C_(n))`
`(C_(1).^(n^(2)-n)C_(n-1))/(.^(n^(2))C_(n))`
`(.^(n)C_(n).^(n^(2)-n)C_(0))/(.^(n^(2))C_(n))`
`1-(1)/(.^(n^(2))C_(n))`

SOLUTION :`f(x)=pi((x)/(2pi))^(2)+((L-x)/(4))^(2)`
`f'(x)=0" at "x=(piL)/(pi+4)."Check "f(0),f(L),f((piL)/(pi+4))`


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