Background information: Over the past 3 seasons since the current manager took over the team, the team has won an average 92.33 games. There are 162 games in a season.
He will be travelling to Las Vegas shortly and is looking forward to placing some bets and wants to know the following:
- What is the best prediction we have for the probability of winning any single game?
- What is the probability of the team winning exactly 100 games?
- What is the probability of the team winning at least 100 games?
- What is the probability of the team winning less than 100 games?
Working in parallel, your coworker came up with the following results:
The probability of the team winning less than 100 games is 90.31%. Do you agree with these results? If not, identify the error made and explain how to correct it.
Would the first part of the answer e a 1/162 chance of winning a game?