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A pair of dice is tossed twice. What is the probability that

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GMAT Club Legend
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Joined: 07 Jun 2014
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GRE 1: Q167 V156
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A pair of dice is tossed twice. What is the probability that [#permalink] New post 08 Dec 2017, 20:32
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A pair of dice is tossed twice. What is the probability that the ?rst toss gives a total of either 7 or 11 and the second toss gives a total of 7 ?

A. \(\frac{1}{27}\)
B. \(\frac{1}{18}\)
C. \(\frac{1}{9}\)
D. \(\frac{1}{6}\)
E. \(\frac{7}{18}\)

Drill 2
Question: 8
Page: 525-526

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GMAT Club Legend
GMAT Club Legend
User avatar
Joined: 07 Jun 2014
Posts: 4710
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 90

Kudos [?]: 1606 [0], given: 375

CAT Tests
Re: A pair of dice is tossed twice. What is the probability that [#permalink] New post 29 Dec 2017, 14:03
Expert's post
Explanation

A There are a total of 62 = 36 possibilities for each toss. There are a total of 8 ways we can get a total of 7 or 11 on the first toss: 6 ways to get a total of 7—(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), or (6, 1)—plus 2 ways to get a total of 11—(5, 6) or (6, 5).

Therefore, the probability of getting a total of either 7 or 11 on the first toss is \(\frac{8}{36}=\frac{2}{9}\).

The probability of getting a total of 7 on the second toss is \(\frac{6}{36}=\frac{1}{6}\) so the probability that both of these independent events occur is the product \(\frac{2}{9}\times \frac{1}{6}=\frac{1}{27}\), choice A.
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Re: A pair of dice is tossed twice. What is the probability that   [#permalink] 29 Dec 2017, 14:03
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