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Hometown Donuts recently sold $19$ donuts, of which $6$ were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{cream-filled donut}) = \_\_$

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Experimental probability

Full solution

Q. Hometown Donuts recently sold

19

donuts, of which

6

were cream-filled donuts. What is the experimental probability that the next donut sold will be a cream-filled donut? Simplify your answer and write it as a fraction or whole number.

\newline

P(\text{cream-filled donut}) = \_\_

Define Experimental Probability: To find the experimental probability of an event, we divide the number of times the event has occurred by the total number of trials. In this case, the event is selling a cream-filled donut, and the trials are the total number of donuts sold.
Calculate Experimental Probability: The number of cream-filled donuts sold is $6$ , and the total number of donuts sold is $19$ . So, the experimental probability ( $P$ ) of the next donut sold being a cream-filled donut is calculated as follows: $\newline$ $P(\text{cream-filled donut}) = \frac{\text{Number of cream-filled donuts sold}}{\text{Total number of donuts sold}}$ $\newline$ $P(\text{cream-filled donut}) = \frac{6}{19}$
Simplify Fraction: The fraction $\frac{6}{19}$ is already in its simplest form, as $6$ and $19$ have no common factors other than $1$ . Therefore, we do not need to simplify the fraction further.

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