Step by step
The question
Question: Two dice are rolled.
How many outcomes are there?
1 Count the choices
2 Multiply
Each of the 6 1st die goes with 6 2nd die.
So we multiply: 6 × 6.
outcomes = 6 × 6
This is the counting principle: multiply the number of choices.
counting principle:
multiply the choices
6 groups of 6: that is 6 times 6.
6 + 6 + 6 + 6 + 6 + 6 = 6 × 6
Careful!
We do not add the choices.
Every choice goes with every other one, so we multiply.
Careful: not 6 + 6 = 12 ✗
6 times 6 is 36.
6 × 6 = 36
So there are 36 outcomes.
outcomes = 36
3 Check
Let's check: 36 divided by 6 is 6.
That gives back the 6 choices.
So the answer is right!
36 ÷ 6 = 6
Let's look back.
First: count the choices.
Then: multiply.
Last: check.
Answer
outcomes = 36