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.
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