Question 1186960
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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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<pre>
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  {{{0.35^3}}} = 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 - {{{(1-0.65)^3}}} = 1 - 0.0429 = 0.9571    (rounded).    <U>ANSWER</U>
</pre>

Solved.