Question

How do you determine the sample space for the experiment where a six sided die is tossed twice and the sum of the points is recorded?

Answer 1

Show an array of the `36` possible outcomes.

Explanation:

A sample space or possibility space is similar to a graph.

The first throw is shown on one axis and the second throw is shown on the other axis. There are 6 possible outcomes each time:
The sum of the two throws is shown on the grid.

second throw
`darr`

`6:" "7" "8" "9" "10" "11" "12`

`5:" "6" "7" "8" "9" "10" "11`

`4:" "5" "6" "7" "8" "9" "10`

`3:" "4" "5" "6" "7" "8" "9`

`2:" "3" "4" "5" "6" "7" "8`

`1:" "2" "3" "4" "5" "6" "7`
`uarr`
`" "rarr1" "2" "3" "4" "5" "6" "larr` first throw

There are `6xx6 =36` possible outcomes.

The highest total is `6+6=12`
The lowest total is `1+1=2`