Event A: Randomly select a member of the U.S. Congress. Event B: Randomly select

Question

Event A: Randomly select a member of the U.S. Congress. Event B: Randomly select a male U.S. Senator. Students A biology class has 32 students. Of these, 10 students are biology majors and 14 students are male. Of the biology majors, four are male. Find the probability that a randomly selected student is male or a biology major. Conference A math conference has in attendance of 4950 people, of these, 2110 are college professors and 2575 are female. Of the college professors, 960 are female. Find the probability that a randomly selected attendee is female or a college professor.

Explanation / Answer

Answer to question# 14)

total = 4950 people

Professors = 2110

Female = 2575

Female and Professor = 960

.

we need to find the probability of "female or coleege professor"

As per the formula of probability we get:

P(Female or Professor) = P(female) + P(professor) - P(female AND professor)

We got :

P(female) = 2575/4950

P(professor) = 2110/4950

P(female AND professor) = 960/4950

.

On plugging these values we get:

P(female or professor) = (2575/4950) + (2110/4950) - (960/4950)

P(female or professor) = 3725/4950 = 0.7525

Thus the Probability of a selected attendee to be a female or college professor is 0.7525

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