GRE Math Rules Study Guide

113.  independent events

114.  The probability that independent events M and N will both occur is 3/8

QUANTITY A (

The probability that event N will occur) QUANTITY B (3/4)

115.  "replace" proba- bility

The outcome of one event does not affect the outcome of the second event

-  We know that if two events are independent, then the probability of them both occurring is the product of the probabilities of each event occurring.

We know that if two events are independent, then the probability of them both occurring is the product of the probabilities of each event occurring. The given informa- tion tells us that the probability that event M will occur multiplied by the probability that event N will occur is 3/8

3/8 = 3*1/4*2 =3/4*1/2

So, if the probability that event M occurs is 3/4, then the probability that event N occurs is 1/2. In this case,

Quantity B is greater. If the probability that event M occurs is 1/2 , then the probability that event N occurs is 3/4. In this case, Quantity A and Quantity B are equal.

Because more than one relationship between the quanti- ties is possible, the correct answer is choice