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?

1 Answer
Nov 14, 2017

Answer:

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#