Two numbers are selected at random from 1,2,3,...100 and are multiplied, then the probability that the product thus obtained is divisible by 3 correct to two decimal places is

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answer is 0.55.

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Detailed Solution

There are 33 numbers which are divisible by 3 between 1 and 100hence the probability is 33C1⋅67C1+33C2100C2=0.55

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