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## 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.

## What is the sample space of the sum of two rolled dice?

Since there are six rows, there are six possible outcomes where the sum of the two dice is equal to seven. The number of total possible outcomes remains 36. Again, we find the probability by dividing the event frequency (6) by the size of the sample space (36), resulting in a probability of **1/6**. 2.

## How do you find a sample space?

When a dice is thrown, there are six possible outcomes, i.e., Sample space (S) = (1, 2, 3, 4, 5, and 6). When a coin is tossed, the possible outcomes are Head and Tail. So, in this case, the sample space (S) will be = **(H, T)**. When two coins are tossed, there are four possible outcomes, i.e., S = (HH, HT, TH, TT).

## 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.

## How many sums are possible with 2 dice?

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. If you add up the numbers in the total column above, you’ll get 36.

## What composes the sample space?

The sample space of a random experiment is **the collection of all possible outcomes**. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1. The probabilities of all the outcomes add up to 1.

## What does sample space mean in statistics?

: **a set in which all of the possible outcomes of a statistical experiment are represented as points**.