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Let us make a deal

Let us make a deal

You have been invited to a TV game show - "Make a Deal”.
If you are lucky, you can win a car.
In this show, the host asks the participant to pick one option from a choice of three doors. Behind one door there is a car and behind the other two doors - either it is a sheep or nothing.
In the game show, after you have chosen a door out of three doors. The host opens a door out of the remaining two doors. To your luck, the host chosen door has nothing behind it.
How lucky! Now the host offers you to stick to your first chosen door or switch to the other unopened door. You need to decide.
Choose your option now. Will you stay with your initial option or switch to the unopened door, after the host opens another door with nothing behind it?
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