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A 3 digit number is randomly formed, find the probability that its common divisor with 36 is only 2.

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Best answer

Correct answer is 1/6

Total 3 digit numbers will be = 900 n(s)=900

Now, need 3 digit number whose common divisor with 36 is only 2

Such numbers will be

102,106,110,....998

:. 225 numbers

But in these 102,114,126,....990

i.e., 75 numbers and to be deleted

∴ Probability = 225 - 75/900

= 150/900

= 1/6

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