# What are the chances of winning?

Anonymous

### Question Description

Note: For each calculation, be sure to show all of your work or explain what you did in words. Make sure to include mathematical symbols, such as \$ or %, in your answers where appropriate. Round to the nearest hundredths place in all answers. You may express probabilities as fractions, decimals or percentages.

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Daria4117
School: UIUC

Sorry, here is a small edit. :-D

Analysis Sheet
Game Overview
There are 15 toolboxes, each containing a prize of a set value.
As the contestant, you must begin the game by randomly selecting one toolbox. The
value hidden in your chosen toolbox is what you will win if you choose to keep it
throughout the game, but you will have multiple chances to trade it in for a guaranteed
prize.
The game show host, the General Contractor (GC), has two roles:
 She narrates the game.
 She offers you the options to accept prizes of a guaranteed value at set points during
the game.
■ NOTE: When the GC makes you an offer, she determines the amount of her offer by
considering the likelihood that you are holding a high value prize in your toolbox. If your
chances of having a big prize in your toolbox are not very high, she will offer you a
smaller prize value.
The image on the next page is what the game show will look like to you as the
contestant. As you play the game, this screen image will adjust with the necessary
changes.
This first screen shows that you randomly selected Toolbox 9, but you don’t know w...

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