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Best guess (Posted on 2015-07-30) Difficulty: 3 of 5
A player draws from a bag containing 10 black and 10 white marbles one by one, without putting them back in.
Every time before drawing a marble he guesses the color of the marble he will draw.
He decides to always guess the color that occurs most frequently remaining in the bag (if there is a tie, he chooses either color).

Find the expected number of correct guesses.

Find a formula for the number of correct guesses for starting with X black and Y white marbles.

This problem is a modified version of Guessing suit and addresses an interesting question that came up in the comments.

No Solution Yet Submitted by Jer    
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  Subject Author Date
re(2): computer solution -- a mathematical-type formulaCharlie2015-08-01 08:24:47
re: computer solutionJer2015-07-31 09:55:05
Solutioncomputer solutionCharlie2015-07-30 14:56:26
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