Objective
To appreciate that finding probability through experiment is different from finding probability by calculation. Students become sensitive towards the fact that if they increase the number of observations, probability found through experiment approaches the calculated probability.
Description
1. The students may either work individually or at most in groups of two.
2. You will collect the following data by visiting any (say)10 classrooms in the school & record it.
3. You will obtain the fraction of number of children having their birthday in the month of January, February,... December from the data given in the table.
4. You will make a pie-diagram from the recorded data.
5. You will investigate if the fraction actually obtained in step 3 tallies with the calculated probability obtained for each month.
e.g.:
If total number of children whose birthday falls in the month of January is 38
and the total number of students is 500,
the actual fraction of children born in January = 38/500
Probability for a child to have birthday in January = 31/365
6. The students may increase their sample size, i.e. increase the number of observations and study if the actual fraction approaches the calculated probability.
7. You should use a random sample for this purpose.
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