Problem

Of the recent customers at East Coast Dogs, 36 wanted mustard on their hot dogs and 78 did not. What is the experimental probability that the next customer will want mustard?
Write your answer as a fraction or whole number.
\[
\mathrm{P}(\text { mustard })=
\]
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Answer

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Answer

\(\boxed{P(\text{mustard}) = \frac{18}{57}}\)

Steps

Step 1 :Let's denote the number of customers who wanted mustard as \(m\) and the number of customers who did not want mustard as \(n\).

Step 2 :Given, \(m = 36\) and \(n = 78\).

Step 3 :Total number of customers is the sum of mustard and non-mustard customers: \(t = m + n\).

Step 4 :Calculate the total number of customers: \(t = 36 + 78 = 114\).

Step 5 :The experimental probability of the next customer wanting mustard is the ratio of mustard customers to the total customers: \(P(\text{mustard}) = \frac{m}{t}\).

Step 6 :Calculate the probability: \(P(\text{mustard}) = \frac{36}{114} = \frac{18}{57}\).

Step 7 :\(\boxed{P(\text{mustard}) = \frac{18}{57}}\)

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