Problem

Part 1 of 2 Points: 0 of 1 Drive-thru Restaurant $\mathrm{O}$ \begin{tabular}{|l|c|c|c|c|} \hline & A & B & C & D \\ \hline Order Accurate & 328 & 266 & 237 & 148 \\ \hline Order Not Accurate & 38 & 60 & 31 & 20 \\ \hline \end{tabular} Restaurant $C$ disjoint events? The probability of getting an order from Restaurant $\mathrm{C}$ or an order that is not accurate is $\square$. (Round to three decimal places as needed.)

Solution

Step 1 :Calculate the total number of orders: \(328 + 266 + 237 + 148 + 38 + 60 + 31 + 20 = 1128\)

Step 2 :Calculate the number of orders from Restaurant C: \(237 + 31 = 268\)

Step 3 :Calculate the number of orders that are not accurate: \(38 + 60 + 31 + 20 = 149\)

Step 4 :Calculate the probability of getting an order from Restaurant C: \(268 / 1128 = 0.238\)

Step 5 :Calculate the probability of getting an order that is not accurate: \(149 / 1128 = 0.132\)

Step 6 :Calculate the number of orders from Restaurant C that are not accurate: \(31\)

Step 7 :Calculate the probability of getting an order from Restaurant C that is not accurate: \(31 / 1128 = 0.027\)

Step 8 :Calculate the probability of getting an order from Restaurant C or an order that is not accurate: \(0.238 + 0.132 - 0.027 = 0.343\)

Step 9 :Final Answer: The probability of getting an order from Restaurant C or an order that is not accurate is \(\boxed{0.343}\)

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Source: https://solvelyapp.com/problems/BcQTm90b8g/

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