Ahly Posted January 9, 2017 Report Share Posted January 9, 2017 Hi, for my IA I was thinking of doing the hat check problem. Essentially it goes like this; group of men walk into a restaurant checking in n number of hats at the door. The restaurant mixes the the hats up and as the evening is over, each man is randomly given a hat from the pile. What is the probability that no person gets their hat back? Suprisingly, the answer is 1/e. If anyone is familiar with the problem could you please elaborate on whether this is SL level or above. I have found some explanations rather complicated and wondered whether it was ultimately worth it given the amount of energy it would require with mocks coming up. I know I would be able to get my head around it, but have begun to doubt whether the return (in terms of marks) for this question would be worth it. I have time to change my topic so I am not particularly worried. Reply Link to post Share on other sites More sharing options...
IB Math Helper Posted January 11, 2017 Report Share Posted January 11, 2017 This sounds like the secretary problem. Check out the math here: https://en.wikipedia.org/wiki/Secretary_problem Reply Link to post Share on other sites More sharing options...
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