00:01
Now, this problem we are told that our ping pong team has a probability of winning a game of 0 .45.
00:08
We want to find a few different probabilities here.
00:10
First, we want to find probability of winning two games out of five.
00:15
So, n will be 5, and x will be 2.
00:20
Now, this follows a binomial distribution, and so this will be 5 choose 2 times 0 .45 to the second, times 0 .55 to the 3rd.
00:34
Again, just making use of our binomial distribution with a p value of 0 .45 and an n value, the number of trials, of 5.
00:42
We want two successes.
00:46
From here, we can just evaluate this on our calculator.
00:48
And when we do, this gives us 0 .3369...