The Monty Hall Paradox

Situation;

Suppose you're on a game show,

you're given the choice of picking one of three doors.

Behind one, is a brand new car

and the others are goats.

You pick a door, and the host

(who knows what's behind the doors)

opens another door revealing a goat.

You then get the choice to switch the door you have chosen

with the unopened door.

is it to your advantage to switch doors?

or stay with the door you have?

Most people assume that each of these doors has an equal probability

and conclude that switching does not matter.

In fact, in the usual interpretation of the problem the player should switch.

This doubles the probability of winning the car, from 1/3 to 2/3.

Fact;

When the above statement of the problem and the solution appeared in Parade Magazine,

approximately 10,000 readers, including nearly 1,000 with PhDs,

wrote to the magazine claiming the published solution was wrong.

that fact makes me laugh

xD