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# What is the probability of rolling two normal six-sided dice and getti

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Math Expert
Joined: 02 Sep 2009
Posts: 43358
What is the probability of rolling two normal six-sided dice and getti [#permalink]

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08 Dec 2014, 05:16
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Difficulty:

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Question Stats:

70% (00:53) correct 30% (01:08) wrong based on 152 sessions

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Tough and Tricky questions: Probability.

What is the probability of rolling two normal six-sided dice and getting exactly one six?

A) 1/36
B) 1/6
C) 5/18
D) 11/36
E) 1/3

Kudos for a correct solution.

Source: Chili Hot GMAT
[Reveal] Spoiler: OA

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Manager
Joined: 04 Oct 2013
Posts: 161
Location: India
GMAT Date: 05-23-2015
GPA: 3.45
Re: What is the probability of rolling two normal six-sided dice and getti [#permalink]

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08 Dec 2014, 05:47
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What is the probability of rolling two normal six-sided dice and getting exactly one six?

A) 1/36
B) 1/6
C) 5/18
D) 11/36
E) 1/3

Possible pairs having exactly one six are (1,6), (2,6),(3,6),(4,6),(5,6),(6,1)...(6,5) = 10 pairs
Total number of possible pairs = 6*6 = 36

Therefore, probability of getting exactly one six = $$\frac{10}{36} = \frac{5}{18}$$

Answer: C
Manager
Joined: 08 Jul 2012
Posts: 50
Re: What is the probability of rolling two normal six-sided dice and getti [#permalink]

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08 Dec 2014, 20:01
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What is the probability of rolling two normal six-sided dice and getting exactly one six?

We can get six either on dice 1 or on dice 2 so:
prob(of getting six) = 1/6
prob(of not getting six) = 5/6

prob(exactly one six) = (six on dice 1 and some other no. on dice 2) or (six on dice 2 and some other no. on dice 1)
= (1/6 * 5/6) + (1/6 * 5/6)
= 5/36 + 5/36
= 5/18

Ans. C) 5/18
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Intern
Joined: 05 Dec 2013
Posts: 3
Re: What is the probability of rolling two normal six-sided dice and getti [#permalink]

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09 Dec 2014, 05:45
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(1/6)*(5/6)*2! = 5/18
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Re: What is the probability of rolling two normal six-sided dice and getti [#permalink]

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30 Sep 2017, 06:52
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Re: What is the probability of rolling two normal six-sided dice and getti   [#permalink] 30 Sep 2017, 06:52
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# What is the probability of rolling two normal six-sided dice and getti

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