Two dice, each with six sides numbered 1 through 6, are tossed. What is the probability that both dice will come up with

[BTGmoderatorDC]

Two dice, each with six sides numbered 1 through 6, are tossed. What is the probability that both dice will come up with either a 1 or a 2 ?


A. 1/36

B. 1/18

C. 1/9

D. 1/3

E. 2/3


OA C

Source: Princeton Review

[Scott@TargetTestPrep]

Two dice, each with six sides numbered 1 through 6, are tossed. What is the probability that both dice will come up with either a 1 or a 2 ?


A. 1/36

B. 1/18

C. 1/9

D. 1/3

E. 2/3


OA C

Source: Princeton Review

Solution:

Since each die has 6 outcomes, there are a total of 6 x 6 = 36 outcomes when two dice are rolled.

Of these 36 outcomes, (1, 1), (1, 2), (2, 1) and (2, 2) are the only ones in which both dice show either a 1 or a 2. Therefore, the probability is 4/36 = 1/9.

Answer: C