What is the odds
Number Theory
Level
2
Ping and Pong played 6 games of Scissors,Paper,Stone.The chance of one of them winning all 6 games is 1 in what?
The answer is 729.
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1 solution
Regardless of what the opponent chooses, each player has a 1 in 3 or 1/3 chance of winning, because there is always 1 move of the 3 moves that beats the opponent's move. To find the odds of winning all the games, multiply the odds of winning each game together. (1/3)^6=1/729, so the answer is 1 in 729.