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
Two dice, each with six sides numbered 1 through 6, are tossed. What is the probability that both dice will come up with
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Solution:BTGmoderatorDC wrote: ↑Fri Oct 28, 2022 11:33 pmTwo 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
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
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