Math Is Fun Forum
  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2006-07-20 22:54:45

flagpole
Member
Registered: 2006-07-20
Posts: 1

tricky card puzzle

I've been working on a puzzle for ages and i'm really quite proud of the solution:

You have 52 playing cards (26 red, 26 black). You draw cards one by one. A red card pays you a dollar. A black one fines you a dollar. You can stop any time you want. Cards are not returned to the deck after being drawn. What is the optimal stopping rule in terms of maximizing expected payoff? Also, what is the expected payoff following this optimal rule?

it took me two years to find the solution

it's here http://puzzles.nigelcoldwell.co.uk/ #14

Offline

#2 2006-07-20 23:01:48

Zach
Member
Registered: 2005-03-23
Posts: 2,075

Re: tricky card puzzle

Fix the deck when no-one's looking.


Boy let me tell you what:
I bet you didn't know it, but I'm a fiddle player too.
And if you'd care to take a dare, I'll make a bet with you.

Offline

Board footer

Powered by FluxBB