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 Best guess (Posted on 2015-07-30)
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 No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
 re: computer solution | Comment 2 of 3 |
(In reply to computer solution by Charlie)

The recursive version of the formula sought is there in line 90.

Is there an explicit form?

 Posted by Jer on 2015-07-31 09:55:05

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