Out of all the 2 -digit integers between 1 to 200, a 2-digit number has to be selected at random. What is the probability that the selected number is not divisible by 7?
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The number of integers between 0 and 100 is n(S)=99
(i) Let E1=Event of chosing on integer which is divisible by 7
=Event of choosing an integer which si multiple of 7
=(7,14,21,28,35,42,49,56,67,70,77,84,91,98)
n(E1)=14
P(E1)=n(E1)n(S)=1499
(ii) Let E2 =Event of choosing an integer which is not divisible by 7
n(E2)=n(S)−n(E1)
=99-14=85
P(E2)=n(E2)n(S)=8599
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