What is the probability that Ohio State will “win out” the rest of this season? What is the probability that Ohio State will “lose out” the rest of this season? How many games can Ohio State “expect” to win the rest of the season? ## Ohio State Football Schedule (Remainder of Season as of 10/05/2021)### Upcoming Games and Projected Win Probabilities- **10/09** - **Opponent:** Maryland - **Projected Win Probability:** 93.4%- **10/23** - **Opponent:** at Indiana - **Projected Win Probability:** 87.9%- **10/30** - **Opponent:** Penn State - **Projected Win Probability:** 75.2%- **11/06** - **Opponent:** at Nebraska - **Projected Win Probability:** 71.1%- **11/13** - **Opponent:** Purdue - **Projected Win Probability:** 91.8%- **11/20** - **Opponent:** Michigan State - **Projected Win Probability:** 81.3%- **11/27** - **Opponent:** at Michigan - **Projected Win Probability:** 51.2%**Note:** The above probabilities reflect the team's chances of winning each game, as calculated on 10/05/2021.

What is the probability that Ohio State will “win out” the rest of this season? What is the probability that Ohio State will “lose out” the rest of this season? How many games can Ohio State “expect” to win the rest of the season?

What is the probability that Ohio State will “win out” the rest of this season? What is the probability that Ohio State will “lose out” the rest of this season? How many games can Ohio State “expect” to win the rest of the season?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

What is the probability that Ohio State will “win out” the rest of this season?

What is the probability that Ohio State will “lose out” the rest of this season?

How many games can Ohio State “expect” to win the rest of the season?

## Ohio State Football Schedule (Remainder of Season as of 10/05/2021)

### Upcoming Games and Projected Win Probabilities

- **10/09**
- **Opponent:** Maryland
- **Projected Win Probability:** 93.4%

- **10/23**
- **Opponent:** at Indiana
- **Projected Win Probability:** 87.9%

- **10/30**
- **Opponent:** Penn State
- **Projected Win Probability:** 75.2%

- **11/06**
- **Opponent:** at Nebraska
- **Projected Win Probability:** 71.1%

- **11/13**
- **Opponent:** Purdue
- **Projected Win Probability:** 91.8%

- **11/20**
- **Opponent:** Michigan State
- **Projected Win Probability:** 81.3%

- **11/27**
- **Opponent:** at Michigan
- **Projected Win Probability:** 51.2%

**Note:** The above probabilities reflect the team's chances of winning each game, as calculated on 10/05/2021.

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Expert Solution

Step 1

The projected win probabilities of Ohio team are given in the table.

a) A win probability is when it is significantly greater than 50%. We have 6 out of 7 games, in which the Ohio team is expected to win, therefore,

$p = \frac{6}{7} = 0.8571 = 85.71 %$

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