Problem

Use the data in the following table, which lists drive-thru order accuracy at popular fast food chains. Assume that orders are randomly selected from those included in the table.
Drive-thru Restaurant
\begin{tabular}{|l|c|c|c|c|}
\hline & A & B & C & D \\
\hline Order Accurate & 328 & 268 & 233 & 130 \\
\hline Order Not Accurate & 32 & 50 & 31 & 11 \\
\hline
\end{tabular}
disjoint events?
The probability of getting an order from Restaurant A or an order that is accurate is (Round to three decimal places as needed.)

Answer

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Answer

Final Answer: The probability of getting an order from Restaurant A or an order that is accurate is \(\boxed{0.915}\).

Steps

Step 1 :First, we need to calculate the total number of orders, the number of orders from Restaurant A, the number of accurate orders, and the number of accurate orders from Restaurant A.

Step 2 :The total number of orders is \(360 + 318 + 264 + 141 = 1083\).

Step 3 :The number of orders from Restaurant A is \(360\).

Step 4 :The number of accurate orders is \(328 + 268 + 233 + 130 = 959\).

Step 5 :The number of accurate orders from Restaurant A is \(328\).

Step 6 :Next, we calculate the probability of getting an order from Restaurant A, the probability of getting an accurate order, and the probability of getting an accurate order from Restaurant A.

Step 7 :The probability of getting an order from Restaurant A is \(\frac{360}{1083} = 0.332\).

Step 8 :The probability of getting an accurate order is \(\frac{959}{1083} = 0.886\).

Step 9 :The probability of getting an accurate order from Restaurant A is \(\frac{328}{1083} = 0.303\).

Step 10 :Finally, we calculate the probability of getting an order from Restaurant A or an order that is accurate.

Step 11 :This can be calculated by adding the probability of getting an order from Restaurant A and the probability of getting an accurate order, and then subtracting the probability of getting an accurate order from Restaurant A (since we are counting it twice).

Step 12 :The probability of getting an order from Restaurant A or an order that is accurate is \(0.332 + 0.886 - 0.303 = 0.915\).

Step 13 :Final Answer: The probability of getting an order from Restaurant A or an order that is accurate is \(\boxed{0.915}\).

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