BrainTeaser BasicProbability Intermediate

Problem - 4649

The probability of a specific parking slot gets occupied is $\frac{1}{3}$ on any single day. If you find this slot vacant for $9$ consecutive days, what is the probability that it will be vacant on the $10^{th}$ day?


Answer     $\frac{2}{3}$

Whether the parking is empty on any single day is independent of what happened in the previous days. The probability of the spot is empty or occupied for $n$ consecutive days will decrease when $n$ increases. But the probability of any single day stays the same. Do not confuse these two.

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