## Related questions with answers

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains (data from a QSR Drive-Thru Study). Assume that orders are randomly selected from those included in the table.

$\begin{matrix} \text{ } & \text{McDonald's} & \text{Burger King} & \text{Wendy's} & \text{Taco Bell}\\ \text{Order Accurate} & \text{329} & \text{264} & \text{249} & \text{145}\\ \text{Order Not Accurate} & \text{33} & \text{54} & \text{31} & \text{13}\\ \end{matrix}$

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If two orders are selected, find the probability that they
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are both from Burger King. Assume that the selections are made with replacement. Are the events independent?

Solution

VerifiedDEFINITIONS

Two events are $\textbf{independent}$, if the probability that one event occurs in no way affects the probability of the other event occurring.

$\textbf{Multiplication rule}$ for independent events:

$P(A\cap B)=P(A\text{ and }B)=P(A)\times P(B)$

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