Monty Hall Problem
The scenario is such: you are given the opportunity to select one closed door of three, behind one of which there is a prize. The other two doors hide “goats” or nothing at all. Once you have made your selection, Monty Hall will open one of the remaining doors, revealing that it does not contain the prize. He then asks you if you would like to switch your selection to the other unopened door, or stay with your original choice. Here is the problem: What is the probability of winning the prize after switching doors?
Answer in percentage to 2 decimal places.
The answer is 66.66.
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1 solution
As there are 3 doors this means chances of winning the prize is 33.33% and chances of not winning is 66.66%. Now one goat is revealed so the chances of not winning is decreased to 33.33% increasing the chances of winning the prizes which means 66.66%.