2. According to http://espn.go.com/college-football/team/fpi/_/id/213/penn-state

Question

2. According to http://espn.go.com/college-football/team/fpi/_/id/213/penn-state-nittany-lions (as of November 3, 2015) the probability that Penn State will win the football game against Michigan is 39.4%. The probability that Penn State will win the football game against Michigan State is 23.0%. (16 points)

A. What are the odds that Penn State will beat Michigan?

B. What are the odds that Penn State will beat Michigan State?

C. What is the odds ratio for Penn State beating Michigan compared to beating Michigan State?

D. How would you explain the odds ratio that you calculated in part C to a friend with no knowledge of statistics?

Explanation / Answer

Probability = Chances for / Total chances

Odds = Chances for : Chances against

A.) Total chances = 100%

Chances for = 39.4%

Chances against = 100-39.4 = 60.6%

Odds(A) = 39.4 : 60.6

Simplify into simples form

B.) Similar to previous one

Total chances = 100%

Chances for = 23%

Chances against = 100-23 = 77%

Odds(B) = 23 : 77

Simplify into simples form

C.) Odds ratio = Odds(A):Odds(B)

D.) If odds ratio is greater than 1 then Penn State has more chances of beating Michigan compared to beating Michingan State

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