Question

Based on the records for the past several​ seasons, a sports fan believes the probability the red team wins is . The fan also believes the probability the blue team wins is . In a season with ​games, how many games should the fan expect the red team to​ win?

Answer 1

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Answer:

81 games

Explanation:

Given

`P(Red) = 0.45`

`P(Blue) = 0.40`

`n = 180`

Required

Expected game the red team will win

Expected number is calculated as:

`E(x) = n * P(x)`

In this case, the number of winnings for the red team is:

`Expected = 180 * P(Red)`

`Expected = 180 * 0.45`

`Expected = 81`