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Jeanette's Pie Shop recently sold $14$ pies, of which $4$ were blackberry pies. What is the experimental probability that the next pie sold will be a blackberry pie? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{blackberry pie}) = \_\_\_$

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Experimental probability

Full solution

Q. Jeanette's Pie Shop recently sold

14

pies, of which

4

were blackberry pies. What is the experimental probability that the next pie sold will be a blackberry pie? Simplify your answer and write it as a fraction or whole number.

\newline

P(\text{blackberry pie}) = \_\_\_

Definition of Experimental Probability: The experimental probability is based on past events. To find the experimental probability of an event, we divide the number of times the event has occurred by the total number of trials. In this case, the event is selling a blackberry pie, and the trials are the total pies sold.
Given Data: We are given that $4$ out of $14$ pies sold were blackberry pies. So, the experimental probability of selling a blackberry pie is the number of blackberry pies sold divided by the total number of pies sold.
Calculation of Experimental Probability: The calculation for the experimental probability is as follows: $\newline$ P(blackberry pie) = Number of blackberry pies sold / Total number of pies sold $\newline$ P(blackberry pie) = $\frac{4}{14}$
Simplification of Fraction: We can simplify the fraction $\frac{4}{14}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $2$ . $\newline$ $P(\text{blackberry pie}) = \left(\frac{4 \div 2}{14 \div 2}\right)$ $\newline$ $P(\text{blackberry pie}) = \frac{2}{7}$

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