Question

1. Consider the first HALF of an ideal NFL season, where any given game is a “coin flip,” meaning that each team has a 50% chance of winning. For a given team, what are its chances of having 5 or more wins at the midseason mark? What are its chances of having 3 or fewer wins at the midseason mark?

Answer 1

let us consider that there are 10 teams playing,

at the mid season, a given team will have played 9 games, and the probability of winning each game is equal to 0.5.

(According to the question)

now if X represents the number of games won by a given team then,

therefore chances of it winning 5 or more games is given by,

and that of winning 3 or less is given by,