Question
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?
Write your answer as a fraction or whole number.
P(blackberry pie)=
Write your answer as a fraction or whole number.
P(blackberry pie)=
Answers
GPT-4o mini
To find the experimental probability of selling a blackberry pie, you can use the formula for probability:
\[
P(\text{blackberry pie}) = \frac{\text{Number of blackberry pies sold}}{\text{Total number of pies sold}}
\]
In this case:
- Number of blackberry pies sold = 4
- Total number of pies sold = 14
Now substituting the values into the formula:
\[
P(\text{blackberry pie}) = \frac{4}{14}
\]
To simplify this fraction, divide both the numerator and the denominator by their greatest common divisor, which is 2:
\[
P(\text{blackberry pie}) = \frac{4 \div 2}{14 \div 2} = \frac{2}{7}
\]
Therefore, the experimental probability that the next pie sold will be a blackberry pie is:
\[
P(\text{blackberry pie}) = \frac{2}{7}
\]
\[
P(\text{blackberry pie}) = \frac{\text{Number of blackberry pies sold}}{\text{Total number of pies sold}}
\]
In this case:
- Number of blackberry pies sold = 4
- Total number of pies sold = 14
Now substituting the values into the formula:
\[
P(\text{blackberry pie}) = \frac{4}{14}
\]
To simplify this fraction, divide both the numerator and the denominator by their greatest common divisor, which is 2:
\[
P(\text{blackberry pie}) = \frac{4 \div 2}{14 \div 2} = \frac{2}{7}
\]
Therefore, the experimental probability that the next pie sold will be a blackberry pie is:
\[
P(\text{blackberry pie}) = \frac{2}{7}
\]