M and E are two equally strong football teams Find the probabilty that M beats E in exactly 5 games - Maths - Limits and Derivatives

Question

M and E are two equally strong football teams Find the probabilty
that M beats E in exactly 5 games out of 8

Akhil Goyal · Accepted Answer

Total number of possibilities are: T =28, ie, in each game either of the two teams win (ignoring the possibility of a tie)The probability of any of the team winning is same (since they are given to be equally strong)
 Thus, all of the above possibilities are equally likely
Possibilities such that team M wins exactly 5 out of 8 times = C58Therefore probability of M winning exactly 5 out of 8 times = C5828=732

M and E are two equally strong football teams.Find the probabilty that M beats E in exactly 5 games out of 8