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Below is the solution to the probability puzzle I posted a couple of days ago. If you have not seen the puzzle, go here to read it.
So is it better to switch doors or keep your original choice? If you said it makes no difference because the chance of picking the car is the same, you are wrong! In fact, it is better to switch. Switching doors will give you a 2 in 3 chance of picking the car, whereas staying with your original choice will only get you the car 1 out of 3 times.
What? How can that be? It should be 50/50 right? Certainly lots of people thought so, including hundreds with Ph.D.s who wrote in and complained when the answer was first published by Marilyn vos Savant in Parade magazine. Nevertheless, the 2 in 3 probability of winning when switching can be proved fairly simply as follows:
It has come to be known as The Monty Hall Problem - read more about it here. If you enjoyed the puzzle let me know!
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