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Roulette (Posted on 2005-03-23) Difficulty: 2 of 5
If I spin the roulette (numbers from 0 to 36) N consecutive times, how many different numbers should I expect to get?

(If N=1, your formula should give 1 as an answer, but for N=2, it should be a little under 2, and for all other N, the formula should be less than the minimum of N and 37.)

Another question: how many times should you spin the roulette, so chances are better than one in a million, that all 37 numbers will have appeared?

See The Solution Submitted by e.g.    
Rating: 4.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Hints/TipsOne step needed to get to final solutionRupesh Khandelwal2005-04-16 10:22:59
SolutionMy take on this problem (different solution?, spoilers)ajosin2005-03-24 23:15:32
SolutionPart 2 spoilerCharlie2005-03-23 16:05:43
Hints/TipsHadn't noticed this while it was in the queue, but ... (part 1 spoiler)Charlie2005-03-23 15:05:14
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