Question
Boats from all along the Atlantic coast dock at a busy marina. Of the first boats to dock there one day, 6 of the boats were from Maine, while 12 were from other states. What is the experimental probability that the next boat to dock will be from Maine?
Write your answer as a fraction or whole number.
P(Maine)=
Write your answer as a fraction or whole number.
P(Maine)=
Answers
GPT-4o mini
To find the experimental probability that the next boat to dock will be from Maine, we first need to determine the total number of boats that have already docked.
The number of boats from Maine is 6, and the number of boats from other states is 12. Therefore, the total number of boats is:
\[
6 + 12 = 18
\]
The experimental probability \( P(Maine) \) is calculated by the ratio of the number of boats from Maine to the total number of boats:
\[
P(Maine) = \frac{\text{Number of boats from Maine}}{\text{Total number of boats}} = \frac{6}{18}
\]
To simplify \( \frac{6}{18} \):
\[
\frac{6}{18} = \frac{1}{3}
\]
Thus, the experimental probability that the next boat to dock will be from Maine is:
\[
P(Maine) = \frac{1}{3}
\]
The number of boats from Maine is 6, and the number of boats from other states is 12. Therefore, the total number of boats is:
\[
6 + 12 = 18
\]
The experimental probability \( P(Maine) \) is calculated by the ratio of the number of boats from Maine to the total number of boats:
\[
P(Maine) = \frac{\text{Number of boats from Maine}}{\text{Total number of boats}} = \frac{6}{18}
\]
To simplify \( \frac{6}{18} \):
\[
\frac{6}{18} = \frac{1}{3}
\]
Thus, the experimental probability that the next boat to dock will be from Maine is:
\[
P(Maine) = \frac{1}{3}
\]