Question

4. Rock-paper-scissors #3 Aa Aa A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each personScISSors simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie beats paper Paper beats rock Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute Rock beats scissors Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 62% of the time, and roommate B chooses rock 62% of the time; roommate A selects paper 16% of the time, and roommate B selects paper 23% of the time; roommate A chooses scissors 22% of the time, and roommate B chooses scissors 15% of the time. (These choices are made randomly and independently of each other.) The probabilities were assigned using the Define event B as the event that roommate B wins the game and thus does not have to wash the dishes What is P(B), the probability of event B? O P(B)0.43 O P(B)0.30 O P(B) 0.22 O P(B)-0.76 Let event C be the event that the game ends in a tie What is P(C), the probability of event C? P(C) 0.86 O P(C) 0.55 O P(C) 0.45 O P(C) 0.50

Answer 1