00:01
In this problem it is said that two fair dice are rolled.
00:04
We have been asked to determine the probability that the sum of the two dice is seven.
00:08
So the required probability will be the number of favorable outcomes divided by the total number of outcomes.
00:14
First of all, consider the total number of outcomes.
00:17
When we roll one die, there are six possible outcomes.
00:20
When we roll the second die, there are six possible outcomes.
00:23
Using the multiplication rule of counting, if we multiply these numbers, then this expression will give us the total number of ways of having an outcome on each of the two dice.
00:33
And so that will give us the total number of outcomes.
00:36
Next we want to find the number of favorable outcomes.
00:39
So the favorable outcomes are the outcomes in which the sum of the two dice is seven...