Roll a die, P(less than 7)

Step by step

The question

Question: A fair die is rolled.

What is the probability of getting a number less than 7?

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 less than 7: 1, 2, 3, 4, 5 and 6.

That is 6 outcomes we want.

3 Write the fraction

6 we want, out of 6.

So the probability is 6/6.

Every outcome works: it is certain.

6/6 is 1.

Let's look back.

First: count all outcomes.

Then: count the ones we want.

Last: write the fraction.