Two numbers in different groups

EasyProbability Combinatorics~4m

The integers $1$ through $100$ are randomly split into two groups of sizes $30$ and $70$ . What is the probability that $6$ and $66$ end up in different groups?

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Different groups happens two ways (6 in the 30, 66 in the 70, or swapped).
$2\cdot\frac{30\cdot70}{100\cdot99}$ (without replacement).

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0.4242 (± 0.001)

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Asked at: IMC, SIG

Two numbers in different groups

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