A paradox of changing odds I read about - doing my head in, but it must be easy to explain why.
Three sets of two playing cards: AA KK AK
With the cards turned face down, you task is to pick the AK pair. Odds are 3 to 1 you pick the correct pair. That is not the problem.
You pick a pair, and one card is turned over - it's a K. That means now, the odds of having the AK pair are 2 to 1.
How? Nothing changed, no magic, yet just by seeing one card of the pair you chose the odds change from 3 to 1 -> 2 to 1.
I have read the solution, but still don't understand this simple logic.