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# 10 Examples of Sample Spaces

October 8, 2023
written by Rida Mirza

In mathematics, a sample space in probability represents all the possible outcomes of a random experiment. It is the set of all possible events that can occur.

In this article, we will discuss ten examples of sample spaces in mathematics.

## Examples of Sample Spaces

These are 10 examples of Sample Spaces.

### 1: Coin Toss

When you flip a fair coin, the sample space consists of two possible outcomes: heads (H) or tails (T).

### 2: Rolling a Die

When you roll a standard six-sided die, the sample space includes the numbers 1, 2, 3, 4, 5, and 6.

### 3: Deck of Cards

In a standard deck of 52 playing cards, the sample space for drawing a single card includes all 52 cards, such as hearts, diamonds, clubs, and spades.

### 4: Multiple Coin Tosses

If you toss two coins simultaneously, the sample space consists of four outcomes: HH (both heads), HT (head-tail), TH (tail-head), and TT (both tails).

### 5: Dice and Coin Toss Combined

If you roll a die and toss a coin, the sample space includes all possible combinations, such as (1, H), (2, H), (3, H), (4, H), (5, H), (6, H), (1, T), (2, T), (3, T), (4, T), (5, T), and (6, T).

### 6: Card Draw and Coin Toss

If you draw a card from a deck and simultaneously toss a coin, the sample space combines both events, resulting in a larger set of possible outcomes.

### 7: Birthdays

In a group of people, the sample space for birthdays includes all 365 days of the year.

### 8: Lottery Numbers

In lottery game, the sample space comprises all possible number combinations that players choose.

### 9: Weather Forecast

When predicting the weather, the sample space for a day’s weather conditions includes categories like sunny, cloudy, rainy, snowy, and more.

### 10: Exam Scores

In a class taking an exam, the sample space for individual scores ranges from the lowest possible score to the highest.

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