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At Donut King, $4$ of the last $16$ donuts sold had sprinkles. What is the experimental probability that the next donut sold will have sprinkles? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{sprinkles}) = \_\_\_$

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Experimental probability

Full solution

Q. At Donut King,

4

of the last

16

donuts sold had sprinkles. What is the experimental probability that the next donut sold will have sprinkles? Simplify your answer and write it as a fraction or whole number.

\newline

P(\text{sprinkles}) = \_\_\_

Calculate Experimental Probability: The experimental probability is calculated by dividing the number of successful outcomes by the total number of trials. In this case, the successful outcome is selling a donut with sprinkles, and the total number of trials is the total number of donuts sold.
Identify Successful Outcome: We are given that $4$ of the last $16$ donuts sold had sprinkles. So, the experimental probability of the next donut having sprinkles is $4$ successful outcomes out of $16$ total trials.
Perform Division: To find the probability, we perform the division: $P(\text{sprinkles}) = \frac{\text{Number of donuts with sprinkles}}{\text{Total number of donuts sold}} = \frac{4}{16}$ .
Simplify Fraction: Simplifying the fraction $\frac{4}{16}$ , we divide both the numerator and the denominator by their greatest common divisor, which is $4$ . So, $\frac{4}{16}$ simplifies to $\frac{1}{4}$ .

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