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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.

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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 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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