Math Corner: Pencil, Paper, Solution

Question: “On the television show, “The Big Bang Theory,” Sheldon Cooper invented an extension of a classic game which he called “Rock, Paper, Scissors, Lizard, Spock.” In this game, each of two players simultaneously make one of five different hand gestures. In this game, if players make different hand gestures, winners are determined as “Scissors cuts paper; Paper covers rock; Rock crushes lizard; Lizard poisons Spock; Spock smashes scissors; Scissors decapitates lizard; Lizard eats paper; Paper disproves Spock; Spock vaporizes rock; Rock crushes scissor.” If each player makes the same hand gesture, the game ends in a draw. John and Kelly are playing three rounds of this game.

Find the probability that all three rounds end in draws.

The probability is 1/125.
Math Corner” is a contest that appears in each issue of The Current and is a collaboration between NSU’s Department of Mathematics | NSU Halmos College of Arts and Sciences | NSU and NSU’s Department of Communication, Media, and the Arts | Halmos College of Arts and Sciences | NSU. Contest submissions to the Math Corner question in the Current’s latest issue can be sent to jgershma@nova.edu up until the date the next issue is published. Prizes are awarded at the end of the academic year.

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