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A restaurant has an electronic system that randomly selects customers when they pay for their meal to receive a coupon for their next visit. Each customer has a 10\%10%10, percent probability of being selected to receive a coupon, and one customer being selected or not doesn't affect whether or not another customer will be selected.
Suppose that 222 customers pay for their meals, one after the other.
What is the probability that NEITHER customer is selected to receive a coupon?
Round your answer to two decimal places.

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Answer:

Step-by-step explanation:

Using the binomial distribution, it is found that there is a 0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

For each customer, there are only two possible outcomes, either they receive the coupon, or they do not. The probability of a customer receiving the coupon is independent of any other customer, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

0.81 = 81% probability that NEITHER customer is selected to receive a coupon.

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