I disagree with this because P(Not in C) is 1.Originally posted by James_T
P ( prize in A | prize not in C ) = P( prize in A and prize not in C) / P (prize not in C) = (1/3) / (2/3) = 1/2
This is because the choice is not being made by you-the game show contestent. The choice is made by the host and it is always correct.
This is to me sounds more like a trick question as there P(Not in C) is always 1.
Hence the choice has always been between A or B. Which is 1/2.