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Candice's Cupcakes recently sold $15$ cupcakes, of which $6$ were chocolate cupcakes. What is the experimental probability that the next cupcake sold will be a chocolate cupcake? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{chocolate cupcake}) = \_\_$

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Experimental probability

Full solution

Q. Candice's Cupcakes recently sold

15

cupcakes, of which

6

were chocolate cupcakes. What is the experimental probability that the next cupcake sold will be a chocolate cupcake? Simplify your answer and write it as a fraction or whole number.

\newline

P(\text{chocolate cupcake}) = \_\_

Define Event and Trials: 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 chocolate cupcake, and the trials are the total cupcakes sold.
Calculate Experimental Probability: The number of chocolate cupcakes sold is $6$ , and the total number of cupcakes sold is $15$ . So, the experimental probability of selling a chocolate cupcake is calculated as follows: $\newline$ P(chocolate cupcake) = Number of chocolate cupcakes sold / Total number of cupcakes sold $\newline$ P(chocolate cupcake) = $\frac{6}{15}$
Simplify Fraction: We can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is $3$ . $\newline$ $P(\text{chocolate cupcake}) = (6 \div 3) / (15 \div 3)$ $\newline$ $P(\text{chocolate cupcake}) = 2 / 5$

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