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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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pmFollowed by: 23 members

by BTGmoderatorDC » Fri Oct 28, 2022 11:33 pm

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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

Source: Beat The GMAT — Problem Solving | Fri Oct 28, 2022 11:33 pm

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

by Scott@TargetTestPrep » Tue Dec 06, 2022 7:20 pm

BTGmoderatorDC wrote: ↑
Fri Oct 28, 2022 11:33 pm
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

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