There are no other combinations that sum to 3, so we have 2 out of a total of 36 combinations that sum to 3. Therefore, the answer is 2/36 = 1/18.

## What are the odds of rolling a sum of 3 with two six sided dice?

Probabilities for the two dice

Total | Number of combinations | Probability |
---|---|---|

2 | 1 | 2.78% |

3 | 2 |
5.56% |

4 | 3 | 8.33% |

5 | 4 | 11.11% |

## What is the probability of rolling a sum of 3?

We divide the total number of ways to obtain each sum by the total number of outcomes in the sample space, or 216. The results are: Probability of a sum of **3: 1/216 = 0.5%** Probability of a sum of 4: 3/216 = 1.4%

## What is the probability of rolling two six sided dice and obtaining at least one 3?

The probability of NOT rolling a 3 with one die is 5/6 so the probability of NOT rolling a 3 with a roll of two dice is 25/36. The probability of rolling at least one 3 is **1–25/36=11/36**, a bit less than 1/3.

## What is the probability of rolling a 3 with two die?

6 Sided Dice probability (worked example for two dice).

…

Two (6-sided) dice roll probability table.

Roll a… | Probability |
---|---|

3 |
2/36 (5.556%) |

4 | 3/36 (8.333%) |

5 | 4/36 (11.111%) |

6 | 5/36 (13.889%) |

## When two sided dice are rolled There are 36 possible outcomes?

Every time you add an additional die, the number of possible outcomes is multiplied by 6: 2 dice 36, 3 dice 36*6 = **216 possible outcomes**.

## What is the probability that in 3 rolls of a pair of six sided dice exactly one total of 7 is rolled?

With 2, 6-sided dice, there are 6² (or (36)) possible number groups. Of these 36 number groups, 6 of them (see above) sum to 7. Therefore the Probability of achieving a sum of 7 by rolling the 2 dice is ( 6/36 ) = ( 1/6 ) = 0.1667 = =**16.67%**.

## What is the probability of you rolling a sum of 7?

For each of the possible outcomes add the numbers on the two dice and count how many times this sum is 7. If you do so you will find that the sum is 7 for 6 of the possible outcomes. Thus the sum is a 7 in 6 of the 36 outcomes and hence the probability of rolling a 7 is **6/36 = 1/6**.