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Brennan's Breakfast Goodies recently sold $20$ muffins, of which $4$ were pumpkin spice muffins. What is the experimental probability that the next muffin sold will be a pumpkin spice muffin? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{pumpkin spice muffin}) = \_\_$

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Experimental probability

Full solution

Q. Brennan's Breakfast Goodies recently sold

20

muffins, of which

4

were pumpkin spice muffins. What is the experimental probability that the next muffin sold will be a pumpkin spice muffin? Simplify your answer and write it as a fraction or whole number.

\newline

P(\text{pumpkin spice muffin}) = \_\_

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 pumpkin spice muffin, and the total number of trials is the total number of muffins sold.
Find Successful Outcome: We are given that $4$ out of $20$ muffins sold were pumpkin spice muffins. To find the experimental probability, we divide the number of pumpkin spice muffins sold by the total number of muffins sold. $\newline$ $P(\text{pumpkin spice muffin}) = \frac{\text{Number of pumpkin spice muffins sold}}{\text{Total number of muffins sold}}$ $\newline$ $P(\text{pumpkin spice muffin}) = \frac{4}{20}$
Simplify Fraction: We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ in this case. $\newline$ P $(\text{pumpkin spice muffin}) = \frac{4 \div 4}{20 \div 4}$ $\newline$ P $(\text{pumpkin spice muffin}) = \frac{1}{5}$

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