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# Damon rolls three six-sided dice. What is the probability

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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [0], given: 396

Damon rolls three six-sided dice. What is the probability [#permalink]  09 Dec 2017, 18:26
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Question Stats:

100% (01:37) correct 0% (00:00) wrong based on 2 sessions
Damon rolls three six-sided dice. What is the probability that his total will be greater than 16 ?

Drill 3
Question: 4
Page: 528

[Reveal] Spoiler: OA
$$\frac{1}{54}$$

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Sandy
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GMAT Club Legend
Joined: 07 Jun 2014
Posts: 4749
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 93

Kudos [?]: 1650 [1] , given: 396

Re: Damon rolls three six-sided dice. What is the probability [#permalink]  29 Dec 2017, 14:18
1
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Expert's post
Explanation

First, figure out how many different results that Damon can get: Each die has 6 sides, so the total number of possible outcomes is 6 × 6 × 6 = 216.

Now count out how many of those outcomes total more than 16. There are 3 ways to roll a 17—5, 6, and 6, 6, 5, and 6, and 6, 6, and 5—and 1 way to roll an 18—three 6’s. The probability is thus $$\frac{4}{216}$$, which reduces to $$\frac{1}{54}$$.
_________________

Sandy
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Re: Damon rolls three six-sided dice. What is the probability   [#permalink] 29 Dec 2017, 14:18
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# Damon rolls three six-sided dice. What is the probability

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