[Math] GRE – Pobability Question

gre-examprobability

One person is to be selected at random from a group of 25 people. The probability that
the selected person will be a male is 0.44, and the probability that the selected person
will be a male who was born before 1960 is 0.28.

Quantity A = The number of males in the group who were born in 1960 or later
Quantity B = 4

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

The answer is C. How?

I understand that there are 11 males(.44*25)
How to find out how many males are there born before 1960?

Best Answer

The answer is given "[...] and the probability that the selected person will be a male who was born before 1960 is 0.28.". So, there are $25*0.28 = 7$ males born before $1960$, so $11-7=4$ is the answer you're looking for.

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