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TAGS: GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1975  , given: 397

A pair of dice is tossed twice. What is the probability that [#permalink]
1
KUDOS
Expert's post 00:00

Question Stats: 80% (01:12) correct 20% (02:21) wrong based on 5 sessions
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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Sandy
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GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4809
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 123

Kudos [?]: 1975 , given: 397

Re: A pair of dice is tossed twice. What is the probability that [#permalink]
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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Sandy
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Try our free Online GRE Test Re: A pair of dice is tossed twice. What is the probability that   [#permalink] 29 Dec 2017, 14:03
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# A pair of dice is tossed twice. What is the probability that  Question banks Downloads My Bookmarks Reviews Important topics Powered by phpBB © phpBB Group Kindly note that the GRE® test is a registered trademark of the Educational Testing Service®, and this site has neither been reviewed nor endorsed by ETS®.