# What is the sample space when two dice are rolled?

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## What is the sample space if two dice are rolled?

The set of all possible outcomes of a random experiment is called the sample space associated with it and it is generally denoted by ‘S’. For an event of throwing of single die, sample space of die is given as: s = {1, 2, 3, 4, 5, 6}. Therefore, the number of favorable outcomes in the sample space = 6.

## What is sample space in dice?

All possible outcomes of an experiment. Examples: One coin, two coins, one die, two dice.

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

Numbers of elements in the sample space = 36

## What are all the possible outcomes of rolling 2 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.

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## Is rolling two dice independent or dependent?

Sample Problem

If we roll two dice, the event of rolling 5 on the first die and the event of the numbers on the two dice summing to 8 are dependent.

## What is sample space with examples?

The sample space is the set of all possible outcomes, for example, for the die it is the set {1, 2, 3, 4, 5, 6}, and for the resistance problem it is the set of all possible measured resistances. This set may be discrete or continuous. An event is a set of outcomes.

## How do you list sample space?

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

## How many elements are there in 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}.

## How many sample points are there in the sample space when a pair of dice is thrown once?

Example: Throwing dice

There are 6 different sample points in the sample space.