Given : A number is randomly chosen from the first 100 positive integers.
Question : What is the probability that it is a multiple of 3?
We need to find the number of multiples of 3 in first 100 POSITIVE integers.
By
AP we have
Tn = a + (n-1)*d (where, Tn = 99; a= 3; d =3)
99 = 3 + (n-1)* 3
96 = (n-1)* 3
32 = (n-1)
n = 33Therefore, the probability that chosen number in first 100 is a multiple of 3 is given by
= No. of favorable outcomes / Total no. of outcomes= 33 / 100Answer Option B is Correct.
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