Los Angeles Math Circle

5/6 -- LAMC High School: Gambling and Probability -- Ben Krause

At the beginning of Guy Ritchie's cult hit, Lock, Stock, and Two Smoking Barrels, the main character, Eddy, gets trapped in a (rigged) poker game set up by the villain, "Hatchet"
Harry: while all the players are dealt one card face up, and two face down, Eddy's "down cards" sit directly above a hidden camera.

After a few rounds of play, Eddy is eventually caught in a hand against Harry. He holds
10 of diamond face up, and 6 of spade 6 of heart face down, while Harry's hand shows
9 of club ? ?

The ve hundred thousand dollar question (as it happened) Eddy faced was this: What are the odds that Eddy's hand is the better one?

Come to the math circle this Sunday to nd out... and to learn how to attack similar gambling-type problems using probability.