00:01
In this problem, it is said that a die is rolled and we need to find the probabilities of the given events.
00:07
Now, the first event is that the number showing is a 3.
00:10
The required probability will be the number of favorable outcomes divided by the total number of outcomes.
00:16
Now, when a die is rolled, we have six outcomes in total.
00:20
We can either get a 1 or a 2 or a 3 or a 4 or a 5 or a 6.
00:25
So the total number of outcomes is 6.
00:27
And the number of favorable outcomes will be one because there is only one favorable outcome of getting a three.
00:35
So the required probability is 1 divided by 6.
00:39
In the next one, we need to find the probability that the number showing is an even number.
00:44
Once again, this is the number of favorable outcomes divided by the total number of outcomes, and the total number of outcomes is 6.
00:51
This time, the favorable outcomes will be the even numbers from 1 to 6, so we have 2, 4, 4...