Question #28959

A salesman is known to sell a product in 3 out of 5 attempts. while another salesman in 2 out of 5 attempts. Find the probability that
1.no sale while happen
2. either of them will succeed in selling the product

Expert's answer

1. First salesman is known to sell a product in 3 out of 5attempts, so the probability he'll make a sale is 3/5 and hence the probability

he'll not make a sale is (1-3/5). In the same way the probability that second

salesman will not make a sale is (1-2/5). Since this two events are

independent, the probability that no sale will happen is (1-3/5)*(1-2/5)=0.24

according to product rule.

2. The probability either of them will succeed = 1-Probability (No sale will

happen) = 1 - 0.24 = 0.76

he'll not make a sale is (1-3/5). In the same way the probability that second

salesman will not make a sale is (1-2/5). Since this two events are

independent, the probability that no sale will happen is (1-3/5)*(1-2/5)=0.24

according to product rule.

2. The probability either of them will succeed = 1-Probability (No sale will

happen) = 1 - 0.24 = 0.76

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