Question

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.
P(mustard)=

Answer 1

To find the experimental probability that the next customer at East Coast Dogs will want mustard on their hot dog, we use the formula for probability:

\[
P(\text{mustard}) = \frac{\text{Number of customers who want mustard}}{\text{Total number of customers}}
\]

From the information provided:
- Number of customers who wanted mustard = 36
- Number of customers who did not want mustard = 78

First, we need to calculate the total number of customers:

\[
\text{Total number of customers} = 36 + 78 = 114
\]

Now, we can compute the probability:

\[
P(\text{mustard}) = \frac{36}{114}
\]

To simplify this fraction, we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 6:

\[
P(\text{mustard}) = \frac{36 \div 6}{114 \div 6} = \frac{6}{19}
\]

Thus, the experimental probability that the next customer will want mustard is:

\[
P(\text{mustard}) = \frac{6}{19}
\]