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In the game Deal or No Deal, participants choose a box at random from a set of  one containing each of the following values: 
 

 

After choosing a box, participants eliminate other boxes by opening them, showing the amount of money in the box to the crowd, and then removing that box (and its money!) from the game.  What is the minimum number of boxes a participant needs to eliminate in order to have a half chance of holding at least $100,000 as his or her chosen box?

Guest Jun 17, 2018
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there is 7/26 chance that it is 100,000 or higher at the start.

 

as you remove boxes, assuming they are all lower than 100,000

 

you would need to remove 12 cases to get the 7/14 chance to be half.

Guest Jun 17, 2018

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