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1. I was doing some questions from the Edexcel S1 book and I got really stuck on this question:

'A contestant on a quiz show is asked to choose one of 3 doors. Behind one door is a sports car, behind the other two doors are toy cars.

The contestant chooses one of the three doors.

The host then opens one of the two remaining doors and reveals a toy car. The host then asks the contestant if they want to stick with their first choice or switch to the other unopened door.

State what you would recommend the contestant to do in order to have the greatest probability of winning the sports car. Show your working clearly.'

I had a look at the solutions at the back but I still don't really understand how they got there. Could anybody shed some light?

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2. (Original post by Aspire101)
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This is known as the Monty Hall problem.

3. Ooh thank you.. I had no idea it's a classic probability problem

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4. (Original post by Aspire101)
Ooh thank you.. I had no idea it's a classic probability problem

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It's used in the film 21 as well :P.

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Updated: April 7, 2013
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