February 1st, 2011
Problem of the Week
for Tuesday, February 1, 2011
A new game! Two players each get 5 cards and the numbers 1 through 10. Each player makes 5 fractions using the numbers 1 through 10 one and only one time, and then writes one fraction on each card. To play, the players shuffle their cards and then each player places one card into the center of the table. The player with the larger fraction wins! Here is Justin's deck:
Can you make a deck that has a higher than 50 percent chance of beating Justin's deck in a single card play? If so, what is your deck? How likely are you to beat him?