2-83. ROCK-PAPER-SCISSORS Read the rules for the Rock-Paper-Scissors game below. Is this a fair game? Discuss...

 

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2-83. ROCK-PAPER-SCISSORS Read the rules for the Rock-Paper-Scissors game below. Is this a fair game? Discuss this question with your team. How to Play . At the same time as your partner, shake your fist three times and then display either a closed fist for "rock," a flat hand for "paper," or a partly closed fist with two extended fingers for "scissors." Rock beats Scissors (because rock blunts scissors), Scissors beat Paper (because scissors cut paper), and Paper beats Rock (because paper can wrap up a rock). If you both show the same symbol, repeat the round. a. While both players are making their choice at the same time, this game has two events in every turn. What are the two events? b. If you and a partner are playing this game and you both "go" at the same time, does your choice affect your partner's choice? Explain. C. Are the two events in this game dependent (where the outcome of one event affects the outcome of the other event) or independent (where the outcome of one event does not affect the outcome of the other event)? Explain your reasoning. d. Work with your team to determine all of the possible outcomes of a game of Rock-Paper-Scissors, played by two people (call them Person A and Person B). Be sure to include the word "and." For each outcome, indicate which player wins or if there is a tie. Be prepared to share your strategies for finding the outcomes with the class. Skye's Ice Cream Shoppe is Mario's favorite place to get ice cream. Unfortunately, because he was late arriving there, his friends had already ordered. He did not know what they ordered for him. They told him that it was either a waffle cone or a sundae and that the ice cream flavor was apricot, chocolate, or blackberry. a. b. C. Make a list of all the possible ice cream orders. What is the probability that Mario will get something with apricot ice cream? What is the probability that he will get a sundae? What is the probability that he will get either something with chocolate or a waffle cone with blackberry? d. What is the probability that he will get orange sherbet? 2-83. ROCK-PAPER-SCISSORS Read the rules for the Rock-Paper-Scissors game below. Is this a fair game? Discuss this question with your team. How to Play . At the same time as your partner, shake your fist three times and then display either a closed fist for "rock," a flat hand for "paper," or a partly closed fist with two extended fingers for "scissors." Rock beats Scissors (because rock blunts scissors), Scissors beat Paper (because scissors cut paper), and Paper beats Rock (because paper can wrap up a rock). If you both show the same symbol, repeat the round. a. While both players are making their choice at the same time, this game has two events in every turn. What are the two events? b. If you and a partner are playing this game and you both "go" at the same time, does your choice affect your partner's choice? Explain. C. Are the two events in this game dependent (where the outcome of one event affects the outcome of the other event) or independent (where the outcome of one event does not affect the outcome of the other event)? Explain your reasoning. d. Work with your team to determine all of the possible outcomes of a game of Rock-Paper-Scissors, played by two people (call them Person A and Person B). Be sure to include the word "and." For each outcome, indicate which player wins or if there is a tie. Be prepared to share your strategies for finding the outcomes with the class. Skye's Ice Cream Shoppe is Mario's favorite place to get ice cream. Unfortunately, because he was late arriving there, his friends had already ordered. He did not know what they ordered for him. They told him that it was either a waffle cone or a sundae and that the ice cream flavor was apricot, chocolate, or blackberry. a. b. C. Make a list of all the possible ice cream orders. What is the probability that Mario will get something with apricot ice cream? What is the probability that he will get a sundae? What is the probability that he will get either something with chocolate or a waffle cone with blackberry? d. What is the probability that he will get orange sherbet?