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## What is the sum of 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.

## What is the sum of a dice?

You compute it by multiplying each value x of the random variable by the probability P(X=x), and then adding up the results. So the average sum of dice is: **E(X) = 2 ^{.} 1/36 + 3**

^{.}2/36 + ….

## What is the probability of getting a sum of 7 with 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% |

## What sum would be rolling most often if two dice?

As you can see, **7** is the most common roll with two six-sided dice. You are six times more likely to roll a 7 than a 2 or a 12, which is a huge difference. You are twice as likely to roll a 7 as you are to roll a 4 or a 10.

## What is the probability of getting a sum of 13 when rolling a pair of dice?

Probability of a sum of 13: 21/216 = **9.7%**

## How many ways are there to roll a sum of 5 or doubles on two dice?

The Monty. Hall Problem

To calculate your chance of rolling doubles, add up all the possible ways to roll doubles (1,1; 2,2; 3,3; 4,4; 5,5; 6,6). There are **6 ways** we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice.

## What is the probability of 3 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 is the opposite of 2 in a dice?

Hence according to the rule number (3), 2 is **opposite 6** and 3 is opposite to 5. Therefore opposite to 4 is 1. 9. Here two positions of dice are shown.

## What is the probability of rolling a 1 with 2 dice?

Since there are six possible outcomes, the probability of obtaining any side of the die is **1/6**. The probability of rolling a 1 is 1/6, the probability of rolling a 2 is 1/6, and so on.