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## What is the sample space of rolling a dice?

The size of the sample space is **the total number of possible outcomes**. For example, when you roll 1 die, the sample space is 1, 2, 3, 4, 5, or 6. So the size of the sample space is 6.

## What is the total number of sample space if three dice is randomly drawn?

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. (iv) getting a total of 6.

## What is the probability of rolling 3 in a 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 probability of rolling a 6 with 3 dice?

So, there are 125 out of 216 chances of a 6 NOT appearing when three dice are rolled. 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 %.

## How many ways can you roll a 3 with two 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% |

## When a dice is rolled the six possible outcomes are?

The set of all the possible outcomes is called the sample space. Thus the numbers on the die become the set. The sample space has six possible outcomes: {**1, 2, 3, 4, 5, 6}**.

## What are all the possible outcomes of rolling 2 dice?

Two different dice are thrown simultaneously being number 1, 2, 3, 4, 5 and 6 on their faces. We know that in a single thrown of two different dice, the total number of possible outcomes is **(6 × 6) = 36**.

## What is the probability of flipping tails and rolling a six?

Step-by-step explanation:

: When you flip a coin there are two possible outcomes (heads or tails) and when you roll a die there are six outcomes(1 to 6). Putting these together means you have a total of **2×6=12 outcomes**.

## How do we calculate probabilities?

**Divide the number of events by the number of possible outcomes.**

- Determine a single event with a single outcome. …
- Identify the total number of outcomes that can occur. …
- Divide the number of events by the number of possible outcomes. …
- Determine each event you will calculate. …
- Calculate the probability of each event.