Easy Riddle Answers:
1) Twelve.
2) Outside.
3) Breath.
Hard Riddle Answers:
1) Bertha was a hurricane in 1996.
2) A towel.
3) Twenty-five.
4) To increase the probability that you'll get the car, you should switch doors. This seems counter-intuitive to some, because it seems that no matter what Monty has revealed, you are left with two doors and no way to know which one has the car. The probability would seem to be 50% for either. It isn't.
Think of it this way: If you went through this routine 300 times, you would choose a door without the car about 200 of those times, right? (2 out of three doors have no car, so 200 out of 300 times - on average - you would choose a door without the car) Now, each of those times Monty will eliminated the other non-car door for you, meaning if you switch you will get the car, right?
Of course the other 100 times you will have chosen the right door from the start, and will lose the car when you switch. However, winning 200 out of 300 times is better than 50%, right? With a probability of 2/3, or 66.7%, you should always switch.
There are other ways in which people have explained this. To me, the interesting thing about the "let's make a deal," riddle, is that it is an example of the relevance of knowing how to figure probabilities. This is how the game show was really played, after all. I wonder what the statistics are on how many contestants switched or stayed with their first choice?
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