If p is the probability that a man aged x will die in a year, then the probability that out of n men A_1,A_2…, A_n each aged x, A_1 will die in an year and be the first to die is

Question : If p is the probability that a man aged x will die in a year, then the probability that out of n men A_1,A_2…, A_n each aged x, A_1 will die in an year and be the first to die is

(A) 1-\left( 1-p\right) ^{n}

(B) \left( 1-p\right) ^{n}

(C) 1/n[1-\left( 1-p\right) ^{n}]

(D) 1/n[\left( 1-p\right) ^{n}]

Answer : option (C)

Solution :

If p is the probability that a man aged x will die in a year, then the probability that out of n men A_1,A_2..., A_n each aged x, A_1 will die in an year and be the first to die is
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