SOLUTION: 1. A salesperson has 65 percent chance of making a sale to a customer. The behavior of each successive customer is independent. If three customers A, B and C enter together, what i

Algebra ->  Probability-and-statistics -> SOLUTION: 1. A salesperson has 65 percent chance of making a sale to a customer. The behavior of each successive customer is independent. If three customers A, B and C enter together, what i      Log On


   

Question 1186960: 1. A salesperson has 65 percent chance of making a sale to a customer. The behavior of each successive customer is independent. If three customers A, B and C enter together, what is the probability that the salesperson will make a sale to at least one of the customers?
Answer by ikleyn(52786) About Me  (Show Source):
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A salesperson has 65 percent chance of making a sale to a customer.
The behavior of each successive customer is independent.
If three customers A, B and C enter together, what is the probability
that the salesperson will make a sale to at least one of the customers?
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According to the problem, the probability is 0.65 to sell to a random customer.


It means that  the probability is 0.35 to fail selling to a random customer.


Hence, the probability is  0.35%5E3 = 0.0429 to fail selling to three random customers.


The probability to make a sale to at least one of the three random customers is, THEREFORE, the complement to it, i.e.


    P = 1 - %281-0.65%29%5E3 = 1 - 0.0429 = 0.9571    (rounded).    ANSWER

Solved.