Question

If a Venn diagram used to represent probabilities, sample space of events is represented by
A .Square
B. Triangle
C. Circle
D. Rectangle

Answer 1

Hint:
In this type of question, first consider an example related to the Venn diagram, then solve or draw the considered example and at last conclude from your example, what type of figure comes by using Venn diagram.

Complete step by step solution:
To solve this question, let us consider an example “Let's say our sample space is the numbers from 1 to 10. Event A is randomly choosing one to one of the odd numbers from 1 to 10, and event B is randomly choosing one of the prime numbers from 1 to 10. Draw a Venn diagram to represent this example.”
For the example , we know that
Sample space =$S=\left\{ 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 \right\}$
Event $A=\left\{ 1, 3, 5, 7, 9 \right\}$
Event $B=\left\{ 2, 3, 5, 7 \right\}$
Let us draw a Venn diagram, we get

It is clear from the above diagram, the sample space and an event can be represented on a Venn diagram, where sample space is represented by the shape rectangle and the event is represented by the shape of the circle.
Therefore if a Venn diagram is used to represent probabilities, sample space of events represented by rectangle.

Hence option D is the correct option.


Note:
In such types of problems, students get confused while using anything related to intersection, when event A and event B occurs, the symbol used is $\bigcap $. Therefore $A\bigcap B$ is the intersection of event A and B and can be used to find the probability of both events occurring.