Let’s Win a Lollipop!
Door 1 Door 2 Door 3 Win! You pick...and stay with... ...and the Lose. You pick...and stay with... Door 1 Door 2 Door 3 ...and the Win! Lose. prize is behind...
Don’t buy it? Door 1 Door 2 Door 3 Win! ...but if you switch to... ...but if you switch to... Door 1 Door 2 Door 3 ...and the Lose. Win! prize is behind... Don’t buy it?
If you still don’t buy it (and that’s OK!) consider the game revisited... Suppose you pick door #5 (WLOG)...and Monty does this:
Would you switch now?