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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.

\begin{tabular}{|l|c|c|c|c|}
\hline & A & B & C & D \\
\hline Order Accurate & 311 & 264 & 250 & 145 \\
\hline Order Not Accurate & 34 & 57 & 38 & 10 \\
\hline
\end{tabular}

If one order is selected, find the probability of getting an order that is not accurate.

The probability of getting an order that is not accurate is [tex]\square[/tex]. (Round to three decimal places as needed.)

Sagot :

GinnyAnswer
To find the probability of getting an order that is not accurate, we follow these steps:

1. Calculate the total number of orders for each restaurant by summing the accurate and not accurate orders.

- For Restaurant A:
[tex]\[ \text{Total orders from A} = 311 (\text{Accurate}) + 34 (\text{Not accurate}) = 345 \][/tex]
- For Restaurant B:
[tex]\[ \text{Total orders from B} = 264 (\text{Accurate}) + 57 (\text{Not accurate}) = 321 \][/tex]
- For Restaurant C:
[tex]\[ \text{Total orders from C} = 250 (\text{Accurate}) + 38 (\text{Not accurate}) = 288 \][/tex]
- For Restaurant D:
[tex]\[ \text{Total orders from D} = 145 (\text{Accurate}) + 10 (\text{Not accurate}) = 155 \][/tex]

2. Sum up the total number of orders across all restaurants:
[tex]\[ \text{Total orders} = 345 + 321 + 288 + 155 = 1109 \][/tex]

3. Calculate the total number of not accurate orders by summing the not accurate orders from all restaurants:

- For Restaurant A:
[tex]\[ \text{Not accurate orders from A} = 34 \][/tex]
- For Restaurant B:
[tex]\[ \text{Not accurate orders from B} = 57 \][/tex]
- For Restaurant C:
[tex]\[ \text{Not accurate orders from C} = 38 \][/tex]
- For Restaurant D:
[tex]\[ \text{Not accurate orders from D} = 10 \][/tex]

Summing these up gives:
[tex]\[ \text{Total not accurate orders} = 34 + 57 + 38 + 10 = 139 \][/tex]

4. Calculate the probability of selecting an order that is not accurate. This is found by dividing the total number of not accurate orders by the total number of orders:

[tex]\[ \text{Probability of not accurate order} = \frac{\text{Total not accurate orders}}{\text{Total orders}} = \frac{139}{1109} \][/tex]

5. Simplify and round the probability to three decimal places:

[tex]\[ \frac{139}{1109} \approx 0.125 \][/tex]

Therefore, the probability of getting an order that is not accurate is [tex]\( \boxed{0.125} \)[/tex].
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