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Luca works at an appliance store. He recently sold $12$ appliances, $6$ of which were dishwashers. What is the experimental probability that the next appliance Luca sells will be a dishwasher? Simplify your answer and write it as a fraction or whole number. $\newline$ $P(\text{dishwasher}) = \_\_$

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Experimental probability

Full solution

Q. Luca works at an appliance store. He recently sold

12

appliances,

6

of which were dishwashers. What is the experimental probability that the next appliance Luca sells will be a dishwasher? Simplify your answer and write it as a fraction or whole number.

\newline

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

Calculate Experimental Probability: The experimental probability is calculated by dividing the number of times an event has occurred by the total number of trials. In this case, the event is selling a dishwasher, and the total number of trials is the total number of appliances sold.
Calculate Probability of Selling Dishwasher: Luca sold $6$ dishwashers out of a total of $12$ appliances. So, the experimental probability that the next appliance he sells will be a dishwasher is calculated as follows: $\newline$ P(dishwasher) = Number of dishwashers sold / Total number of appliances sold $\newline$ P(dishwasher) = $\frac{6}{12}$
Simplify Fraction: Simplify the fraction by dividing both the numerator and the denominator by the greatest common divisor, which is $6$ in this case. $\newline$ $P(\text{dishwasher}) = (\frac{6}{6}) / (\frac{12}{6})$ $\newline$ $P(\text{dishwasher}) = \frac{1}{2}$

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