Problem

The last 60 boat rentals at a boat rental company were 38 sunfish, 10 kayaks, and 12 rowboats. Use this information to complete parts (a) through (c).
a) Determine the empirical probability that the next boat rental is a sunfish.
b) Determine the empirical probability that the next boat rental is a kayak.
c) Determine the empirical probability that the next boat rental is a rowboat.
a) $P($ sunfish $)=\frac{19}{30}$ (Type an integer or a simplified fraction.)
b) $\mathrm{P}($ kayak $)=\square($ Type an integer or a simplified fraction.)

Answer

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Answer

Simplify the fraction to get the final answer: \(P(\text{kayak}) = \boxed{\frac{1}{6}}\)

Steps

Step 1 :The last 60 boat rentals at a boat rental company were 38 sunfish, 10 kayaks, and 12 rowboats. We are asked to determine the empirical probability that the next boat rental is a kayak.

Step 2 :The empirical probability is calculated by dividing the number of times an event occurs by the total number of observations or trials. In this case, the event is a kayak rental and the total number of observations is the total number of boat rentals.

Step 3 :From the given information, we know that there were 10 kayak rentals and a total of 60 boat rentals.

Step 4 :Substitute these values into the formula for empirical probability to get: \(P(\text{kayak}) = \frac{\text{kayak rentals}}{\text{total rentals}} = \frac{10}{60}\).

Step 5 :Simplify the fraction to get the final answer: \(P(\text{kayak}) = \boxed{\frac{1}{6}}\)

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