GRE Sample Test 2 Quantitative Reasoning 1

Question : 8 of 20

Marks: +1, -0

Alejandro has a six-sided die with faces numbered 1 through 6. He rolls the die twice.
Quantity A : The probability that he rolls two even numbers
Quantity B : The probability that neither number rolled is a multiple of 3

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

Validate

Solution:

For Quantity A, there are three ways to get an even number (these are 2, 4, 6). So, the probability of “rolling an even” and then “rolling an even” is

3/6×3/6

1/4

. For multiple independent events, multiply the probabilities. For Quantity B, there are four ways to not get a multiple of 3 (these are 1, 2, 4, 5). The probability of “not rolling a multiple of 3” and then “not rolling a multiple of 3” is

4/6×4/6

4/9

.
Quantity B is greater than Quantity A.

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