Step by step
The question
Question: A die is rolled 60 times and 6 comes up 13 times.
Find the experimental probability of rolling a 6.
1 Times it happened over times tried
It happened 13 times out of 60 rolls.
So the experimental probability is 13/60.
P(a 6) = 1360
Experimental probability comes from what really happened in the experiment.
experimental = what really happened
As a percent: 13 divided by 60, times 100, is about 21.7%.
= ≈ 21.7%
2 Compare with the theory
In theory, a die has 6 sides, so each number is 1 out of 6: about 16.7%.
= theory: 16 ≈ 16.7%
Careful!
That is the theory.
The question asks what really happened: 21.7%.
Careful: not P(a 6) = 16.7% ✗
21.7% is close to 16.7%.
With more rolls, it usually gets even closer.
= 21.7% > 16.7%
3 Check
Let's check: 21.7% of 60 rolls should be the 13 times.
21.7% of 60 is about 13.
So the answer is right!
21.7% of 60 = 13 ≈ 13
Let's look back.
First: times it happened over times tried.
Then: compare with the theory.
Last: check.
Answer
= ≈ 21.7%