Question
Boats from all along the Atlantic coast dock at a busy marina. Of the first 13 boats to dock at the marina one day, 5 were from North Carolina. What is the experimental probability that the next boat to dock will be from North Carolina?
Write your answer as a fraction or whole number.
P(North Carolina)=
Write your answer as a fraction or whole number.
P(North Carolina)=
Answers
GPT-4o mini
To find the experimental probability that the next boat to dock will be from North Carolina, we can use the formula for experimental probability:
\[
P(\text{North Carolina}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}
\]
In this case, the number of favorable outcomes (boats from North Carolina) is 5, and the total number of trials (total boats that docked) is 13.
Thus, we calculate:
\[
P(\text{North Carolina}) = \frac{5}{13}
\]
So, the experimental probability that the next boat to dock will be from North Carolina is:
\[
\frac{5}{13}
\]
\[
P(\text{North Carolina}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}
\]
In this case, the number of favorable outcomes (boats from North Carolina) is 5, and the total number of trials (total boats that docked) is 13.
Thus, we calculate:
\[
P(\text{North Carolina}) = \frac{5}{13}
\]
So, the experimental probability that the next boat to dock will be from North Carolina is:
\[
\frac{5}{13}
\]