You are out with friends. Half of you want to go bowling and the other half want to go to a movie. How will you make a fair decision about whether to go to a movie or go bowling using a fair coin and assuming that all of you want to go to either of the places together? (Let H = heads and T = tails)

Question

kirbykirby · Answer

Assign Heads to be "bowling", assign Tails to be "movies", flip the coin and whatever it lands on, you go with that o_O, (because the coin is fair)? Am I missing something here lol 
It should be fair since the coin has a 1/2 probability of landing on either H or T , so there is no unfair advantage for either bowling or movies ...

accessdenied · Answer

That is what I was thinking, although I was dissuaded from saying anything because it felt like there was a trick.  :P

kirbykirby · Answer

^Hehe I was refraining for a bit, but I just could not see anything tricky no matter how many times I read the problem xD

kirbykirby · Answer

Maybe you can add that the fairness is governed by probability, and not human influence, so there's really no bias in the decision ?  Lol... Not sure what other fluff I can think of