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

Question
Upper level algebra
The probability that a randomly selected student is a sophomore or male.

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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