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Re: if two six-sided dice are thrown, what is the probability th [#permalink]
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?

Re: if two six-sided dice are thrown, what is the probability th [#permalink]
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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