Step by step
The question
Question: A fair die is rolled.
What is the probability of getting a number more than 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
Numbers more than 4: 5 and 6.
That is 2 outcomes we want.
3 Write the fraction
2 we want, out of 6.
So the probability is 2/6.
Careful!
The bottom is all the outcomes, 6.
Not only the other 4.
4 Simplify
Both 2 and 6 can be divided by 2.
That makes it simpler.
So it is 1/3.
5 As a percent
Percent means out of 100.
1/3 means 1 divided by 3.
Then times 100.
To the nearest tenth, that is about 33.3%.
6 Check
Let's check with the others.
6 minus 2 is 4.
2/6 plus 4/6 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: simplify.
Then: as a percent.
Last: check.