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Just as one die has six outcomes and two dice have 62 = 36 outcomes, the probability experiment of rolling three dice has 63 = 216 outcomes. This idea generalizes further for more dice.

## What values are possible for the total sum of the three dice?

so there are 63=216 possible outcomes.

## How many different sums of dice numbers can we get by throwing 3 standard game dice at the same time?

Three different dice are thrown at the same time. Therefore, total number of possible outcomes will be 6^{3} = (6 × 6 × 6) = **216**.

## How many sums are on a dice?

Since each die has 6 values, there are 6∗6=**36** 6 ∗ 6 = 36 total combinations we could get. If you add up the numbers in the total column above, you’ll get 36.

## When three dice are rolled the number of possible cases?

Total Number of possibilities=1×5×5×3C1=**75**.

## What is the probability of rolling a 3 or 5?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

3 | 3/36 (8.333%) |

4 | 6/36 (16.667%) |

5 | 10/36 (27.778%) |

6 | 15/36 (41.667%) |

## How many different sums can you get from rolling two dice?

Note that there are **36 possibilities for** (a,b). This total number of possibilities can be obtained from the multiplication principle: there are 6 possibilities for a, and for each outcome for a, there are 6 possibilities for b. So, the total number of joint outcomes (a,b) is 6 times 6 which is 36.

## How many ways can you roll a 7 with 3 dice?

This gives **15 distinct ways** of obtaining a total of 7. There are 216 possible outcomes when rolling three dice. Originally Answered: If we roll 3 dice, what is the probability that the sum is 7?

## What is the probability of getting a 6 on two dice?

Probabilities for the two dice

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

4 | 3 | 8.33% |

5 | 4 | 11.11% |

6 | 5 |
13.89% |

7 | 6 | 16.67% |