Question

Seventh grade

II.4 Experimental probability
9AA
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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?
Write your answer as a fraction or whole number.
P(dishwasher)=

Answer 1

To find the experimental probability that the next appliance Luca sells will be a dishwasher, we can use the formula for experimental probability:

\[
P(\text{event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of trials}}
\]

In this case, the event is selling a dishwasher.

- The number of favorable outcomes (the number of dishwashers sold) is 6.
- The total number of trials (the total appliances sold) is 12.

Now we plug in these values into the formula:

\[
P(\text{dishwasher}) = \frac{6}{12}
\]

We can simplify this fraction:

\[
P(\text{dishwasher}) = \frac{1}{2}
\]

So, the experimental probability that the next appliance Luca sells will be a dishwasher is:

\[
P(\text{dishwasher}) = \frac{1}{2}
\]