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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. - Mathematics

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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 in Brief

Solution

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 is denoted by P (A)  and is given by

P(A) = `m/n`

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

` P(A_1)=5/40`

            =`1/8`

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Chapter 25: Probability - Exercise 25.1 [Page 14]

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RD Sharma Mathematics [English] Class 9
Chapter 25 Probability
Exercise 25.1 | Q 10 | Page 14

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