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Name: Probability of Rock Paper Scissors Write the players’ names in the chart below. Record what each player “throws” in each round and then write which player wins. Example: Player 1 throws Rock, Player 2 throws Paper. You write down Rock, Paper, and then Player 2 wins. You must write down all ties! Player :______________ Player 2: _____________ Winner: Round 1 Round 2 Round 3 Round 4 Round 5 Round 6 Round 7 Round 8 Round 9 Round 10 Round 11 Round 12 Round 13 Round 14 Round 15 Round 16 Round 17 Round 18 Copyright © MakeMathMore.com, 2009. Permission is granted to transmit and copy this document for educational purposes so long as it is not altered and not sold. page 1 Prob. of Rock Paper Scissors (1) After you complete the above data table write the sample space AND tree diagram of the possible outcomes below. Remember, the first event is what the first player does and the second event is what the second player does. The first of each is done for you: Sample Space: (complete 2 more groupings) Rock(P1), Rock(P2) Rock(P1), Paper(P2) Rock(P1), Scissors(P2) Tree Diagram: (complete 2 more trees) Rock(P1) Rock(P2) Paper(P2) Scissors(P2) [tie] [P2 win] [P1 win] Label the outcomes on the tree diagrams above as a win for the first player, second player, or a tie. (2) How many outcomes does the game have? (3) What is the theoretical probability that the first player should win? (fraction, decimal, and percent) (4) What is the theoretical probability that the second player should win? (fraction, decimal, and percent) (5) Is this game fair? Do both players have an equal opportunity to win the game? EXPLAIN. Copyright © MakeMathMore.com, 2009. Permission is granted to transmit and copy this document for educational purposes so long as it is not altered and not sold. page 2 Prob. of Rock Paper Scissors (6) What is the experimental probability that the first player won? (fraction, decimal, and percent) (7) What is the experimental probability that the second player won? (fraction, decimal, and percent) (8) Compare the theoretical probability and experimental probability of one player (you choose which player) throwing rock, paper, and scissors. Rock: theoretical= experimental= Paper: theoretical= experimental= Scissors: theoretical= experimental= (9) Write a couple sentences comparing the experimental probability to the theoretical probability. What did you find and why do you think it happened? Copyright © MakeMathMore.com, 2009. Permission is granted to transmit and copy this document for educational purposes so long as it is not altered and not sold. page 3 Prob. of Rock Paper Scissors
