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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?

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MrRoyal

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Answer:

81 games

Step-by-step explanation:

Given

[tex]P(Red) = 0.45[/tex]

[tex]P(Blue) = 0.40[/tex]

[tex]n = 180[/tex]

Required

Expected game the red team will win

Expected number is calculated as:

[tex]E(x) = n * P(x)[/tex]

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

[tex]Expected = 180 * P(Red)[/tex]

[tex]Expected = 180 * 0.45[/tex]

[tex]Expected = 81[/tex]

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