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At Downtown Dogs, $10$ of the last $15$ customers wanted mustard on their hot dogs. What is the experimental probability that the next customer will want mustard? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{mustard}) = \_\_$

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Experimental probability

Full solution

Q. At Downtown Dogs,

10

of the last

15

customers wanted mustard on their hot dogs. What is the experimental probability that the next customer will want mustard? Simplify your answer and write it as a fraction or whole number.

\newline

P(\text{mustard}) = \_\_

Calculate Experimental Probability: The experimental probability is calculated by dividing the number of times an event has occurred by the total number of trials. In this case, the event is a customer wanting mustard on their hot dog, and the trials are the last $15$ customers.
Use Formula for Probability: To find the experimental probability, we use the formula $P(\text{event}) = \frac{\text{Number of times event occurred}}{\text{Total number of trials}}$ . Here, the event is ＂customer wanting mustard＂ which occurred $10$ times out of the last $15$ customers.
Simplify Fraction: Plugging the numbers into the formula gives us $P(\text{mustard}) = \frac{10}{15}$ . This fraction can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $5$ .
Final Experimental Probability: After simplifying, we get $P(\text{mustard}) = (\frac{10}{5}) / (\frac{15}{5}) = \frac{2}{3}$ . This is the experimental probability in its simplest form.

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