The probability that a randomly selected student is a sophomore or male.

The probability that a randomly selected student is a sophomore or male.

Question
Upper level algebra
asked 2021-02-13
The probability that a randomly selected student is a sophomore or male.

Answers (1)

2021-02-14
The probability that a randomly selected student is a sophomore or male is,
P(sophomore or male)=P(sophomore)+P(male)-P(sophomore and male)
\(=\frac{n(sophomore)+n(male)-n(sophomore and male)}{n(S)}\)
\(=\frac{15+18-8}{33}\)
\(=\frac{25}{33}\)
Thus, the probability that a randomly selected student is a sophomore or male is \(\frac{25}{33}\).
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