Step by step
The question
Question: A die is rolled 90 times and 2 comes up 24 times.
Find the experimental probability of rolling a 2.
1 Times it happened over times tried
It happened 24 times out of 90 rolls.
So the experimental probability is 24/90.
Experimental probability comes from what really happened in the experiment.
24 and 90 can both be divided by 6.
So it is 4/15.
As a percent: 4 divided by 15, times 100, is about 26.7%.
2 Compare with the theory
In theory, a die has 6 sides, so each number is 1 out of 6: about 16.7%.
Careful!
That is the theory.
The question asks what really happened: 26.7%.
26.7% is close to 16.7%.
With more rolls, it usually gets even closer.
3 Check
Let's check: 26.7% of 90 rolls should be the 24 times.
26.7% of 90 is about 24.
So the answer is right!
Let's look back.
First: times it happened over times tried.
Then: compare with the theory.
Last: check.