Question 1

Define sample space. Give an example.

Accepted Answer

The set of all possible outcomes of a random experiment is called the sample space. It is denoted by $U$ or $S$. Example: For tossing a coin, $U = \{H, T\}$.

Question 2

What is a finite sample space? Give an example.

Accepted Answer

If the total number of possible outcomes in the sample space is finite, it is called a finite sample space. Example: Throwing a die, $U = \{1, 2, 3, 4, 5, 6\}$.

Question 3

What is an infinite sample space? Give an example.

Accepted Answer

If the total number of possible outcomes is infinite, it is called an infinite sample space. Example: Life of electric bulbs in hours, $U = \{L \mid L \geq 0, L \in R\}$.

Question 4

What is a certain event? Give an example.

Accepted Answer

The special subset $U$ of the sample space is called a certain event. It always occurs. Example: The day next to Saturday is Sunday.

Question 5

Define random experiment with its characteristics.

Accepted Answer

An experiment which can be independently repeated under identical conditions, all possible outcomes are known but which outcome will appear cannot be predicted with certainty is called a random experiment. Characteristics:
- Can be independently repeated under identical conditions
- All possible outcomes are known but which will appear cannot be predicted
- The experiment results into a certain outcome

Class 12 Statistics: Probability

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