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. Scissors beats paper Раper beats rock Rock beats scissors

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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.
Scissors
beats paper
Paper
beats rock
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
classical 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?
O P(B) = 0.30
O P(B) = 0.32
O P(B) = 0.43
O P(B) = 0.67
Let event C be the event that the game ends in a tie.
Transcribed Image Text: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. Scissors beats paper Paper beats rock 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 classical 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? O P(B) = 0.30 O P(B) = 0.32 O P(B) = 0.43 O P(B) = 0.67 Let event C be the event that the game ends in a tie.
Let event C be the event that the game ends in a tie.
What is P(C), the probability of event C?
O P(C) = 0.55
O P(C) = 0.50
O P(C) = 0.25
O P(C) = 0.45
Define event A as the event that roommate A wins the game and thus does not have to wash the dishes. What is the probability that roommate A wins
the game?
O P(A) = 0.37
O P(A) = 0.67
O P(A) = 0.50
O P(A) = 0.24
What is the complement of event B?
O BC = event B or event C
O BC = event A or event C
O BC - event A
O BC = event C
The probability of BC is
O O
Transcribed Image Text:Let event C be the event that the game ends in a tie. What is P(C), the probability of event C? O P(C) = 0.55 O P(C) = 0.50 O P(C) = 0.25 O P(C) = 0.45 Define event A as the event that roommate A wins the game and thus does not have to wash the dishes. What is the probability that roommate A wins the game? O P(A) = 0.37 O P(A) = 0.67 O P(A) = 0.50 O P(A) = 0.24 What is the complement of event B? O BC = event B or event C O BC = event A or event C O BC - event A O BC = event C The probability of BC is O O
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