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Q: What is the probability that two dice add up to five with one toss?

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If two twelve side fair dice are rolled, there are 144 possible outcomes. Of those 144 outcomes, there are four (1-4, 2-3, 3-2, and 4-1) that add up to five, So the probability of rolling a sum of five is 4 in 144, or 1 in 36.

It is (1/6)2 = 1/36

Of the 36 possible combinations rolling two dice there are 2 combinations that add up to 11 so the odds are 18:1

There are 36 permutations of rolling two dice. Of these, there are five that add up to a sum of 8...6+25+34+43+52+6This translates to an event (or sample) space of {62, 53, 44, 35, 26}.The probability, then, of rolling a sum of 8 on two dice is 5 in 36, or about 0.1389.

1:18. There are 36 potentials and only two can add to 3. Thus one in eighteen

Related questions

There are 36 permutations of rolling two dice. Three of them, (4,6), (5,5), and (6,4) add up to ten. Therefore, the probability of rolling ten on two dice is 3 in 36, or 1 in 12, or about 0.0833.

The probability of rolling a 7 with 2 dice is 6/36; probability of rolling an 11 is 2/36. Add the two together to find probability of rolling a 7 or 11 which is 8/36 or 2/9.

The answer depends on what numbers are on the faces of the dice.

If two twelve side fair dice are rolled, there are 144 possible outcomes. Of those 144 outcomes, there are four (1-4, 2-3, 3-2, and 4-1) that add up to five, So the probability of rolling a sum of five is 4 in 144, or 1 in 36.

It is (1/6)2 = 1/36

Of the 36 possible combinations rolling two dice there are 2 combinations that add up to 11 so the odds are 18:1

Opposite faces always add to 7. Two is opposite five.

There are 36 permutations of rolling two dice. Of these, there are five that add up to a sum of 8...6+25+34+43+52+6This translates to an event (or sample) space of {62, 53, 44, 35, 26}.The probability, then, of rolling a sum of 8 on two dice is 5 in 36, or about 0.1389.

1:18. There are 36 potentials and only two can add to 3. Thus one in eighteen

With 3 fair dice, pipped 1 through 6, there are 10 permutations that add up to 6. They are 114, 123, 132, 142, 213, 222, 231, 312, 321, and 411. The total number of permutations of the three dice is 63 or 216. The probability, then, of rolling a sum of 6 on 3 dice is 10 in 216, or 5 in 108, or about 0.0463.

The probability of rolling (2, 6) is (1/6)2=1/36 Add 1/36 for all the other ways to roll 8 - (3,5),(4,4),(5,3),(6,2) Total probability is 5/36

2 - on modern dice, the numbers opposite each other add up to 7.

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