What is the probability (sum of 4) on two standard dice?

Question

Are there 36 possible outcomes or 21?
Is rolling a 1 and a 3 considered the same outcome as rolling a 3 on the first die and a 1 on the second?

Ok. So far, you can get 1-3, 3-1--but, is 2-2 and 2-2 two distinct possibilities? Is it 3/36 or 4/36?

Ok. 36 possible outcomes it is. Thanks everyone!

But do you count 2-2 as only one outcome?

Answer 1

There are 36 possible outcomes and no, those would be two different outcomes. So there are four possible ways to get a sum of four. 2 and 2, 2 and 2, 3 and 1, 1 and 3

Answer 2

The probability of rolling a sum of 4 on 2 dice.

You can get a sum of 4 by rolling:

First, Second
1, 3
3, 1
2, 2
2, 2

There are 4 possible rolls to get the target.

There are 6 x 6 potential rolls (36).

Therefore the chance of rolling a 4 is 4/36 = 1/9 = 11%

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There are 36 outcomes for a roll of 2 dice but only 21 outcomes for the for the sum of the dice score.

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It depends on what the answer asks, the way i have worked out the answer at the top is using a 3 then a 1 and a 1 then a 3 as different. I have thought of the probabilities of rolling each separately.

Answer 3

There are 36 possibilities when rolling 2 dice.

4 comes up in only 3 of those.

1-3
2-2
3-1

Odds are 3 in 36 of rolling exactly a "4"

Answer 4

There are 36 possible outcomes. Think of it this way, "for each face of first die, you can have 6 faces of second die. and since there are 6 faces of first die, you have 6 faces of first die * 6 faces of second die for each face on first die = 36 possibilities"

rolling 1 and 3 is NOT same as rolling 3 and 1. They are both distinct ways of getting 4.

Answer 5

yes, there are 36 possible outcomes. Although, 2-2 are counted as 1.

Answer 6

2-2 is a single outcome

the probability of sum = 4 is 3/36

Answer 7

There are 36 possible combinations because a 1, then a 3 is different than 3, then a 1

Possible Combinations:
11
12
13
14
15
16
21
22
23
24
25
26...

You get the point......

Answer 8

I would say 21, because 3+1 is the same thing as 1+3. It's not like you can tell which die is which. Besides, it said the sum of 4, so it is kind of like a group.

Answer 9

its 36. each die is mutual exclusive. you may roll a three on one die and a one on the other and then roll again and have just the opposite.