# JEE Probability 1

Discrete Mathematics Level 5

Two positive $$x$$ and $$y$$ are chosen at random from first 100 positive with replacement. The probability that $$xy$$ is divisible by 6 is $$\eta$$. Calculate $$\lfloor 1000\eta\rfloor$$.

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

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