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

1 Answer
Feb 28, 2015

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%#