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  • Two different numbers are selected at random from and are multiplied, the

Two different numbers are selected at random from 1, 2, 3, 4........100 and are multiplied, then the probability (correct upto two place of decimals) that the product thus obtained is divisible by 3, is

Option: 1

0.22


Option: 2

0.33


Option: 3

0.44

 


Option: 4

0.55


Answers (1)

best_answer

For selecting any two numbers out of 100=^{100}C_{2}

P\left ( S \right )=^{100}C_{2}

Now number of ways for getting product of two number is divisible by '3'=^{33}C_{2}+^{33}C_{1}\times ^{67}C_{1}

So P\left ( E \right )=\frac{^{33}C_{2}+33\times67}{^{100}C_{2}}=0.55

(Where 33 is total number from 1 to 100 which is multiple of 3)

Posted by

vinayak

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