Want to bet on it? From Brilliant.org
- Steve Phelps
From Brilliant.org https://brilliant.org/community-problem/want-to-bet-on-it/?group=0OUWtcmKlfjE At my party to which all you good people are invited, I take out a standard deck of 52 cards with a smile and say, "Shuffle the deck as much as you want, then divide the deck into 3 piles in any way you desire. Now my lucky cards are King, Queen and Jack. All the rest are your lucky cards. Turn over only the top card in each of the 3 piles. If any of them is a King Queen or Jack, you give me 1$. If not, I give you 1 $. Simple?" Do you think you want to bet on it? What is the probability of me winning this bet?
What is the ideal way to cut the deck that seems to maximize your chances of winning?