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

d 192

step-by-step explanation:

we find our area to find area we multiply thoses numbers to get our answer so our area is 192

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: