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# If you roll a fair-sided die twice, what is the probability of getting

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Math Expert
Joined: 02 Sep 2009
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If you roll a fair-sided die twice, what is the probability of getting  [#permalink]

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25 May 2016, 07:50
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62% (00:22) correct 38% (00:25) wrong based on 118 sessions

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If you roll a fair-sided die twice, what is the probability of getting a double?

A. 1/3
B. 1/6
C. 1/12
D. 1/24
E. 1/36

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Math Expert
Joined: 02 Aug 2009
Posts: 6800
Re: If you roll a fair-sided die twice, what is the probability of getting  [#permalink]

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25 May 2016, 08:03
Bunuel wrote:
If you roll a fair-sided die twice, what is the probability of getting a double?

A. 1/3
B. 1/6
C. 1/12
D. 1/24
E. 1/36

ways you can get double - 6...as each dice showing any number from 1 to 6...
total ways = $$6*6 = 36.$$.
$$P = \frac{6}{36} = \frac{1}{6}$$
B
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Re: If you roll a fair-sided die twice, what is the probability of getting  [#permalink]

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25 May 2016, 08:28
2
Bunuel wrote:
If you roll a fair-sided die twice, what is the probability of getting a double?

A. 1/3
B. 1/6
C. 1/12
D. 1/24
E. 1/36

Total number of events= 6*6

Total events of getting same pair= 6

Probability= 6/6*6= 1/6

Another method is:-

Probability of getting any number on 1st dice is 1 and getting the same number of second dice is 1/6
So, probability of getting pair is 1*1/6= 1/6

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Re: If you roll a fair-sided die twice, what is the probability of getting  [#permalink]

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25 May 2016, 08:58
if we get the same number on both the rolls then we get a double.

probability of getting a number is 1/6. BUT on the second roll probability of getting the same number is 1.

hence probability of getting a double is 1*1/6. Answer is B.
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Re: If you roll a fair-sided die twice, what is the probability of getting  [#permalink]

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26 Oct 2017, 10:44
Bunuel wrote:
If you roll a fair-sided die twice, what is the probability of getting a double?

A. 1/3
B. 1/6
C. 1/12
D. 1/24
E. 1/36

There are a total of 6 x 6 = 36 possible outcomes when a fair die is rolled twice. Of the 36 possible outcomes, there are 6 doubles: 1-1, 2-2, 3-3, 4-4, 5-5, and 6-6. Thus, the probability of getting a double is 6/36 = 1/6.

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Re: If you roll a fair-sided die twice, what is the probability of getting &nbs [#permalink] 26 Oct 2017, 10:44
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# If you roll a fair-sided die twice, what is the probability of getting

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