A math conference has an 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.

Question

Mathematics

Mia Keith

Yesterday, 22:14

A math conference has an 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.

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Ayana Burgess · Answer 1

0.95

Step-by-step explanation:

To answer this question, we need to find the probability of selecting a female attendee and a college professor. Then we calculate the needed probability.

Firstly, we calculate the probability of selecting a female attendee. There are 2,575 females. Hence, the probability of selecting a female attendee is 2575/4950

Now, we move on to calculate the probability of selecting a college professor. The probability here is 2110/4950

The probability of selecting either of the two is simply the addition of both probabilities:

P = 2575/4950 + 2110/4950 = 0.95