JEE Probability 1

Discrete Mathematics Level 4

Two positive integers \(x\) and \(y\) are chosen at random from the first 100 positive integers with replacement. The probability that \(xy\) is divisible by 6 is \(\eta\).

Calculate \(\lfloor 1000\eta\rfloor\).

Bonus: You might like to calculate the probability without replacement for fun.

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