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For the drive-thru orders at popular fast food chains, if two orders are selected with replacement, find the probability that they are both accurate.

a) Yes, the events are independent.

b) No, the events are not independent.

1 Answer

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Final answer:

When sampling with replacement in a drive-thru scenario, the probabilities of consecutive orders being accurate are independent, and the overall probability is found by multiplying the individual probabilities of each order being accurate.

Step-by-step explanation:

The student has asked about finding the probability that two drive-thru orders at popular fast food chains are both accurate, given that the selection is made with replacement. Since the sampling is done with replacement, the events are considered to be independent. To calculate the probability of both orders being accurate, we simply multiply the probability of the first order being accurate by the probability of the second order being accurate, because the outcome of the first does not affect the outcome of the second. This is an application of the multiplication rule for independent events.

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