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Guessing suit (Posted on 2015-07-20) Difficulty: 2 of 5
A player draws the cards from the a 52-card deck one by one, without putting them back in the deck.
Every time before drawing a card he guesses the suit of the card he will draw.
He decides to always guess the suit that occurs most frequently in the remaining deck (if there are several such suits, he chooses any one of them).

Prove that he will guess the right suit at least 13 times.

No Solution Yet Submitted by Ady TZIDON    
Rating: 4.0000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: simulation | Comment 9 of 13 |
(In reply to simulation by Charlie)

Thanks, Charlie.

My 3  remarks:

1. Gauss would be happy to see the results you've displayed.

2. As we see, it is an excellent bet that the solver will get 16 or
 more correct guesses.

3. It would be interesting to find out, what is the average number of "hits" if one is using a random guessing (i.e. ignoring the correct data)-my guess is 13 or slightly lower.  

  Posted by Ady TZIDON on 2015-07-21 13:08:26
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