Question
Of the last 57 herb plants that Tim stocked at the garden center, 9 were basil plants. What is the experimental probability that the next herb plant stocked will be a basil plant?
Write your answer as a fraction or whole number.
P(basil)=
Write your answer as a fraction or whole number.
P(basil)=
Answers
GPT-4o mini
To find the experimental probability of the next herb plant being a basil plant, you can use the formula for experimental probability:
\[
P(\text{basil}) = \frac{\text{Number of basil plants}}{\text{Total number of herb plants}}
\]
In this case, the number of basil plants is 9, and the total number of herb plants is 57. Plugging in these values:
\[
P(\text{basil}) = \frac{9}{57}
\]
To simplify \(\frac{9}{57}\), we can divide both the numerator and the denominator by their greatest common divisor, which is 9:
\[
P(\text{basil}) = \frac{9 \div 9}{57 \div 9} = \frac{1}{7}
\]
Therefore, the experimental probability that the next herb plant stocked will be a basil plant is:
\[
P(\text{basil}) = \frac{1}{7}
\]
\[
P(\text{basil}) = \frac{\text{Number of basil plants}}{\text{Total number of herb plants}}
\]
In this case, the number of basil plants is 9, and the total number of herb plants is 57. Plugging in these values:
\[
P(\text{basil}) = \frac{9}{57}
\]
To simplify \(\frac{9}{57}\), we can divide both the numerator and the denominator by their greatest common divisor, which is 9:
\[
P(\text{basil}) = \frac{9 \div 9}{57 \div 9} = \frac{1}{7}
\]
Therefore, the experimental probability that the next herb plant stocked will be a basil plant is:
\[
P(\text{basil}) = \frac{1}{7}
\]