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If two six-sided dice are thrown, what is the probability

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If two six-sided dice are thrown, what is the probability [#permalink] New post 22 Nov 2012, 14:12
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Question Stats:

67% (01:43) correct 32% (00:26) wrong based on 46 sessions
If two six-sided dice are thrown, what is the probability that the sum of the numbers shown on the dice is six?

A. 1/36
B. 1/12
C. 5/36
D. 1/6
E. 1
[Reveal] Spoiler: OA

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Last edited by Bunuel on 23 Nov 2012, 01:26, edited 1 time in total.
Renamed the topic and edited the question.
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Re: if two six-sided dice are thrown, what is the probability th [#permalink] New post 22 Nov 2012, 14:16
I worked it out by working out all possible outcomes:
Dice 1 Dice 2
1 5
5 1
2 4
4 2
3 3
3 3

This gives you 6 outcomes from 36 combos - > 1/6, but the OA is 5/36. I assume this is because you aren't suppose to count 3-3 twice. My question is why not? You count 1-1, 2-2, 3-3 etc to get the 36 possibilities, so why do you not count 3-3 twice in the outcomes?

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Re: if two six-sided dice are thrown, what is the probability th [#permalink] New post 23 Nov 2012, 01:30
Expert's post
Skientist wrote:
I worked it out by working out all possible outcomes:
Dice 1 Dice 2
1 5
5 1
2 4
4 2
3 3
3 3

This gives you 6 outcomes from 36 combos - > 1/6, but the OA is 5/36. I assume this is because you aren't suppose to count 3-3 twice. My question is why not? You count 1-1, 2-2, 3-3 etc to get the 36 possibilities, so why do you not count 3-3 twice in the outcomes?

Help!

Skientist


If two six-sided dice are thrown, what is the probability that the sum of the numbers shown on the dice is six?

A. 1/36
B. 1/12
C. 5/36
D. 1/6
E. 1

There are only 5 cases to get the sum of 6:

1st die --- 2nd die
1 --------------- 5
5 --------------- 1
2 --------------- 4
4 --------------- 2
3 --------------- 3

The total number of outcomes is 6*6=36, thus the probability is 5/36.

Answer: C.

Notice that (3, 3) is only one case: 1st die gives 3 and 2nd die gives 3.
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Re: If two six-sided dice are thrown, what is the probability [#permalink] New post 26 Jun 2014, 23:21
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Favorable outcomes: (1,5), (2,4), (3,3), (4,2), (5,1)
Total outcomes: 6 * 6

Probability: 5/36
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Re: If two six-sided dice are thrown, what is the probability [#permalink] New post 26 Jun 2014, 23:51
When we roll two dice, there are 36 outcomes.

(1,1), (2,2) , (3,3) ... (6,6) are counted only once in those 36 possibilities..

(1,5) and (5,1) are two different possibilities and are two separate events


for example if the 2 dice are A & B,

there is a difference between saying 1 on die A, 5 on die B and saying 5 on die A, 1 on die B.

there is absolutely no such difference when you consider (3,3)
Re: If two six-sided dice are thrown, what is the probability   [#permalink] 26 Jun 2014, 23:51
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