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The probability that a life insurance salesperson following up a magazine lead will make a sale is 30%. A salesperson has two leads on a certain day. What is the probability that the salesperson will sell (i) both? (ii) exactly one policy; (iii) at least one policy?


(i) both
(0.3)(0.3) = 0.09
The probability he will sell both is 0.09 or 9%

(ii) exactly one
(1 - 0.09) – [(0.7)(0.7)] = 0.42
The probability he will sell both is 0.42 or 42%

(iii) at least one
0.42 + 0.09 = 0.51
The probability he will sell at least one is 0.51 or 51%


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