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Question

One number is chosen from numbers 1 to 100. Find the probability that it is divisible by 4 or 6?


Solution

Let A be the event of choosing a number divisible by 4

A=4,8,....,100

n(A)=25

P(A)=25100

Let B be the event of choosing a number divisible by 6

B=6,12,...,96

n(B)=16

P(B)=16100

(AB)=12,24,.....,96

n(AB)=8

P(AB)=8100

P(AB)=P(A)+P(B)P(AB)

=25100+161008100=33100

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