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A roulette wheel with 38 numbers is spun. What is the probability that in five spins the wheel never lands on either 0 or 00? What is the probability that the wheel lands on one of the first six integers on one spin, but does not land on any of them on the next spin?
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A roulette contains numbers 0, 00, 1,2..., 36. So for first question, every time, we have 36 choices out of 38. So

$P=\left(\frac{36}{38}\right)^5$.

In second case, $P=\frac{6}{38}*\frac{32}{38}$
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