Step by step
The question
Question: A fair die is rolled.
What is the probability of getting a 4?
The probability is a fraction: the outcomes we want, over all the outcomes.
P stands for probability.
1 Count all outcomes
A die has 6 sides: 1, 2, 3, 4, 5 and 6.
So there are 6 outcomes.
Each one is just as likely.
2 Count the ones we want
The 4: just one.
That is 1 outcome we want.
3 Write the fraction
1 we want, out of 6.
So the probability is 1/6.
Careful!
The bottom is all the outcomes, 6.
Not only the other 5.
4 As a percent
Percent means out of 100.
1/6 means 1 divided by 6.
Then times 100.
To the nearest tenth, that is about 16.7%.
5 Check
Let's check with the others.
6 minus 1 is 5.
1/6 plus 5/6 is 6/6: that is 1, all of them.
So the answer is right!
Let's look back.
First: count all outcomes.
Then: count the ones we want.
Then: write the fraction.
Then: as a percent.
Last: check.