On a weekly television game show, contestants are shown three closed boxes and asked to choose on of them. They know that one of carrots. Each week, after a contestant has chosen a box, the game show host opens one of the other two boxes to reveal that it contains carrots. The contestant is then given a choice: stick with the box thay have already chosen or change their mind and pick the remaining unopened box.
Use a suitable probability calculation to decide what contestant should do ( assume that they are aiming for cash rather than the carrots)
Ok, for this question I dont really understand, just know that P(carrot) = 1/3. I dont even have a clue how to do it and what kind of probability calculation to use. Can somebody give me the structure to do this question please?.
Any help would be appreciated! . Thanks for your time