Seeking a zero
Probability
Level
pending
The European roulette wheels have 37 numbers on them, one copy of every number from 0 to 36.
If you spin a European roulette wheel 5 times, what are the chances of getting exactly one 0? Give answer in percent.
The answer is 12.11.
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1 solution
The chance that the zero comes up on the first spin and non-zeros come up on the second, third, fourth and fifth spin is ( 1 / 3 7 ) × ( 3 6 / 3 7 ) 4
This is also the chance that a zero comes up on the second spin and non-zeros come up on the first, third, fourth and fifth spins.
(etc.)
So that chance that on exactly one of the five spins, a zero comes up, is five times that, which is 1 2 . 1 1 %.