A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person 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. 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. Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 50% of the time, and roommate B chooses rock 63% of the time; roommate A selects paper 45% of the time, and roommate B selects paper 36% of the time; roommate A chooses scissors 5% of the time, and roommate B chooses scissors 1% of the time. (These choices are made randomly and independently of each other.) The probabilities were assigned using therelative frequency approach . 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