Acollegiate video-game competition team has a 0.70 probability of winning a match. over the course of a season, 8 matches are played. individual matches are independent of any other matches. calculate the probability that the team will win exactly 7 matches over the course of one season.

The probability that the team will win exactly 7 matches over the course of one season is:

                         0.1977

We know that the probability of k successes out of n successes is given by the binomial distribution as:

where p is the probability of success .

Here we are asked to find the probability that the team will win exactly 7 matches over the course of one season.

Since, there are 8 matches over the course of season.

This means n=8

and k=7

and p=0.70

(Since, 0.70 probability of winning a match )

Hence, we get:

         Hence, the answer is:

                  0.1977

step-by-step explanation:

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