00:01
In this problem, it is said that seven men and six women are semi -finalists in a lottery.
00:05
From this group, five finalists are going to be selected by a drawing.
00:08
And we need to find the probability that all five finalists will be men.
00:12
Now, the required probability will be the number of favorable outcomes divided by the total number of outcomes.
00:17
First of all, consider the total number of outcomes.
00:20
We have seven men and six women in the group, so that's seven plus six a total of 13 people.
00:26
And out of these 13 people, five finalists are selected at random.
00:30
Can be done in 13c5 ways.
00:32
Here we use c, which represents combination, and we use combination and a permutation in this case because the order of selection of the people does not matter...