Question

How many outcomes will constitute the sample space resulting from rolling a pair of balanced 6-sided dice?

Answer 1

The sample space is `6*6=36`

The first die has `6` possible outcomes, as does the second.

Since these events are independent from each other, you must multiply the possibilities of the two events.

Or:
You can write out all possibilities, from `11, 12,13`... all the way up to ...`65` and `66`
Remember that `14` is NOT the same as `41`, and you will also find `36` possibilities.

Extra :
Example: if you want to calculate the probability of rolling a total of `5`, this can be done in the following ways:
`14,23,32,41->4` ways.

Probability is then `"favourable"/"total"=4/36=1/9~~11%`