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## When 2 dice are rolled the sample space consists of how many events?

Rolling two six-sided dice: Each die has 6 equally likely outcomes, so the sample space is 6 • 6 or **36 equally likely outcomes**.

…

First coin | Second coin | outcome |
---|---|---|

T | H | TH |

T | T | TT |

## When two dice are rolled write the sample space?

So, the total number of joint outcomes (a,b) is 6 times 6 which is **36**. The set of all possible outcomes for (a,b) is called the sample space of this probability experiment.

## How many elements are in the sample space of rolling two dice?

Numbers of elements in the sample space = **36**

Learn More: Two dice are rolled together.

## How many combinations are there with 2 dice?

When two dice are rolled, there are now **36 different and unique ways** the dice can come up. This figure is arrived at by multiplying the number of ways the first die can come up (six) by the number of ways the second die can come up (six).

## What are the outcomes when two dice are thrown?

Since, a cubical dice has six faces and each face has a number that range from 1 to 6. So, the total number of outcomes when 1 dice is thrown is 6. Therefore, when two dice are thrown, the total number of outcomes will be **the total combinations of the 6 numbers of one die with the 6 numbers of the other die**.

## What is the probability of rolling a 3 or getting heads?

The odds of getting heads are 1 : 1 (one to one, or even). b) Rolling a die and getting a 3. The sample space consists of 6 outcomes: 1 three and 5 not-three. The odds of getting three are **1 : 5 (one to five)**.

## How many elements are in this sample space?

In the case of a single toss, the sample space has two elements that interchangeably, may be denoted as, say, {Head, Tail}, or {H, T}, or {0, 1}, … There are six possible outcomes and the sample space consists of **six elements**: {1, 2, 3, 4, 5, 6}.