# Game of fate

**Discrete Mathematics**Level pending

In the Monty Hall Quiz show, Monty offers the successful candidate another challenge to determine what prize he/she gets. Monty shows the contestant 3 doors, behind one door there is a new car and behind the other two doors there are goats. The contestant chooses one door and then Monty opens one of the other doors revealing a goat.

He then offers the contestant the chance of changing his choice. Should the contestant switch to the other unopened door?

A. No, he shouldn't because he should trust his first instinct.

B. No, he shouldn't because Monty is trying to trick him.

C. Yes, he should because the odds have changed.

D. Maybe, but his odds haven't changed.

**Your answer seems reasonable.**Find out if you're right!

**That seems reasonable.**Find out if you're right!

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