Monty hall V.02
Inspired by Monty Hall Game Show, a new show was started with slight changes.
There are totally 6 doors placed in front of the player. One of them contains a Million dollar cash prize, while the rest have a chicken in them. The player doesn't know which door has the cash, but the host does know. After the game, the player takes home whatever he wins by choosing door(s) according the following Rules.
Here are the rules. The host asks the player to pick a door, which wanted to be opened by the player. Then the host give two options
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He asks the player to pick another 2 doors (from the 5 left) to be opened and take home all that is in those 3 doors.
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He offer the player to open 4 other doors, which he guaranties that they contain Chicken in them. And offers the player to either stay with his initial decision or shift his choice to the other door which was not opened by the Host.
Which choice should the player need to choose in order to become a Millionaire?
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1 solution
If the player chooses Option 1, he has a 50% chance of winning. (This is obvious, right?)
If the player chooses Option 2, and then switches to the second door offered by the host, the only way he loses is if his initial choice contained the money. And that probability is 1/6. Thus the player can guarantee a winning percentage of 83.3% by choosing the second option.