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Question -

Following table shows the birth month of 40 students of class IX.
 

Jan.

Feb

March

April

May

June

July

Aug.

Sept.

Oct.

Nov.

Dec.

3

4

2

2

5

1

2

5

3

4

4

4

Find the probability that a student was born in August.



Answer -

The total number of trials is 40.
Remember the empirical or experimental or observed frequency approach to probability.
If n be the total number of trials of an experiment and A is an event associated to it such that A happens in m-trials. Then the empirical probability of happening of event A is denoted byand is given by
 
Let A1 be the event that the birth month of a chosen student is august.
The number of times A1 happens is 5.
Therefore, we have

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