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All Four Suits (Posted on 2006-06-06) Difficulty: 3 of 5
If you keep drawing cards from a shuffled deck, what is the expected number of draws to complete at least one card from each suit?

The expected value is the average number of draws that it would take if you repeated the experiment many times.

See The Solution Submitted by Charlie    
Rating: 4.2500 (4 votes)

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End... | Comment 4 of 8 |
(In reply to Middle... by Eric)

So I calculate an expected outcome of 7.665079365. Of course, I would rather have an expression than a decimal... oh well.

Incidentally, using the Monte Carlo method I get 7.3 after 20 iterations.

Edited on June 6, 2006, 11:31 pm
  Posted by Eric on 2006-06-06 23:20:06

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