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A survey of 100 concession stand customers' orders is shown below.

\begin{tabular}{|c|c|c|c|}
\hline & Hot Dog & Hamburger & Sandwich \\
\hline Standard & 9 & 45 & 19 \\
\hline Large & 3 & 18 & 6 \\
\hline
\end{tabular}

If we choose a customer at random, what is the probability that his or her order will be Large?

[tex]\[ P(\text{Large}) = \frac{\text{Total Large orders}}{\text{Total orders}} = \frac{3 + 18 + 6}{100} \][/tex]



Answer :

GinnyAnswer
To determine the probability that a randomly chosen customer's order will be large, follow these steps:

1. Identify the total number of large orders.
- Number of large hot dogs ordered: 3
- Number of large hamburgers ordered: 18
- Number of large sandwiches ordered: 6

Therefore, the total number of large orders is:
[tex]\[ 3 + 18 + 6 = 27 \][/tex]

2. Identify the overall total number of orders.
- Number of standard hot dogs ordered: 9
- Number of large hot dogs ordered: 3
- Number of standard hamburgers ordered: 45
- Number of large hamburgers ordered: 18
- Number of standard sandwiches ordered: 19
- Number of large sandwiches ordered: 6

Therefore, the total number of orders is:
[tex]\[ 9 + 3 + 45 + 18 + 19 + 6 = 100 \][/tex]

3. Calculate the probability of choosing a large order.
[tex]\[ P(\text{Large}) = \frac{\text{Total Large orders}}{\text{Total orders}} = \frac{27}{100} \][/tex]

Thus, the probability that a customer's order will be large, when chosen at random, is [tex]\( \boxed{0.27} \)[/tex].

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