Crazy Hall Problem

Discrete Mathematics Level 2

There is a game show host named Crazy Hall, he prepared 100000 doors, behind one of the doors is a car, and the others, goats, you'll never know what's behind the doors until you open it, and the host knows what's behind the doors.

The host selects you and asks you to pick a door, you randomly chose a door.

Before it is opened, the host opens the other 99998 doors to reveal 99998 goats. Leaving only 1 door left.

The host then asks you, pointing at the last remaining door: "Would you like to switch to this door?"

Suppose you switched to that door, what is the percentage of you winning a car?

This is one part of 1+1 is not = to 3.


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