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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? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(North Carolina) =$ ____

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Experimental probability

Full solution

Q. 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? Simplify your answer and write it as a fraction or whole number.

\newline

P(North Carolina) =

____

Understand Experimental Probability: The experimental probability is based on the frequency of an event occurring in past trials. In this case, we are given that out of the first $13$ boats, $5$ were from North Carolina. To find the experimental probability that the next boat will be from North Carolina, we use the formula: $\newline$ $P(\text{North Carolina}) = \frac{\text{Number of boats from North Carolina}}{\text{Total number of boats}}$
Calculate Experimental Probability: Now we plug in the numbers from the problem into the formula: $\newline$ $P(\text{North Carolina}) = \frac{5}{13}$ $\newline$ This fraction cannot be simplified further, so this is our experimental probability.
Final Answer: Since the problem asks for the probability in the form of a fraction or a whole number, our final answer is already in the correct form.

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