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You could write the sample space another way, by just adding up the two dice. For example [1][1] = 2 and [1][2] = 3. That would give you a sample space of {2, 3, 4, 6, 7, 8, 9, 10, 11, 12}.

## How do you find the sample space of a dice?

For example, flipping a coin has 2 items in its sample space. Rolling a die has 6. Thus, the sample space of the experiment from simultaneously flipping a coin and rolling a die consisted of: 2 × 6 = **12 possible outcomes**.

## How many elements are in the sample space for rolling two die?

How many elements are there in the sample space of rolling of two unbiased dice? **36**.

## How many ways can 2 dice fall?

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.

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What are the most likely outcomes from rolling a pair of dice?

Outcome | List of Combinations | Total |
---|---|---|

10 |
4+6, 5+5, 6+4 |
3 |

11 | 5+6, 6+5 | 2 |

12 | 6+6 | 1 |

## How do you find the sample space of 3 dice?

When three dice are rolled sample space contains **6 × 6 × 6 = 216 events** in form of triplet (a, b, c), where a, b, c each can take values from 1 to 6 independently. Therefore, the number of samples is 216.

## When two dice are rolled the maximum total on the two faces of the dice will be?

Answer: When two dice are thrown simultaneously, thus number of event can be **62** = 36 because each die has 1 to 6 number on its faces.

## What is the probability of rolling a 4 on a 6 sided dice?

Two (6-sided) dice roll probability table

Roll a… | Probability |
---|---|

4 | 3/36 (8.333%) |

5 | 4/36 (11.111%) |

6 | 5/36 (13.889%) |

7 | 6/36 (16.667%) |