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Two numbers are selected at random from 1,2,3,....100 and are multiplied, then the probability correct to two places of decimals that the product thus obtained is divisible by 3, is A. 67 150 B. 83 150 C. 67 75 D. 8 75 Select the correct answer from above options

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Correct Answer - B Two numbers can be chosen out of first 100 natural numbers in .100C2 The product ab is divisble by 3 if at least one of the two numbers is divisible by 3. ∴ Required probability =1- Probability that none of the two numbers chosen is divisble by 3. =1- .67C2 .100C2 =1- 67×33 50×99 =1- 67 150 = 83 150

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