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## How many different sums of dots can rolling three standard dice simultaneously?

Age 11 to 14. Challenge Level

Three dice cannot be arranged in any way that makes the sum of the top dots equal the sums of the front, back, and bottom dots. There are six faces on a die: 1, 2, 3, 4, 5, and 6. These total to 21. Three dice have a total of **63 dots**.

## How many different sums of dots can you get by rolling three standard dice each of them is numbered from 1 to 6 simultaneously?

Probability for rolling three dice with the six sided dots such as 1, 2, 3, 4, 5 and 6 dots in each (three) dies. When three dice are thrown simultaneously/randomly, thus number of event can be 6^{3} = (6 × 6 × 6) = **216** because each die has 1 to 6 number on its faces. (iii) getting a total of at least 5.

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

How many total combinations are possible from rolling two 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.

## What is the probability of rolling a dice 3 times and getting a different number each time?

Thus, the actual probability of getting three different numbers is **56⋅23=59**.

## What are the odds of rolling a 6 with 3 dice?

Simply subtract 125 from 216 which will give us the chances a 6 WILL appear when three dice are rolled, which is 91. 91 out of 216 or **42.1 %**.

## What is the probability of rolling a 3 on a 6 sided dice?

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%) |

## What are the odds of rolling 3 of a kind with 3 dice?

The probability of getting the same number is **1/6**. Throw the third die. The probability of getting the same number is again 1/6. So the probability of three numbers the same is 1/6×1/6.

## What is the probability of getting 1 and 5 If a dice is thrown once?

So they are mutually exclusive events, therefore their probabilities add to 1. By symmetry we expect that each face is equally likely to appear and so each has probability = **1/6**. The outcome of a 5 is one of those events and so has probability = 1/6 of appearing.

## What are the odds of rolling a 6 with 2 dice?

Probabilities for the two dice

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

3 | 2 | 5.56% |

4 | 3 | 8.33% |

5 | 4 | 11.11% |

6 | 5 |
13.89% |