Mathematics, 30.06.2020 17:39 idk5233

# 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 36% of the time, and roommate B chooses rock 22% of the time; roommate A selects paper 32% of the time, and roommate B selects paper 25% of the time; roommate A chooses scissors 32% of the time, and roommate B chooses scissors 53% of the time. (These choices are made randomly and independently of each other.) The probabilities were assigned using the_.
Define event A as the event that roommate A wins the game and thus does not have to wash the dishes. What is P(A), the probability of event A?

P(A) = 0.32

P(A) = 0.22

P(A) = 0.34

P(A) = 0.38

Let event C be the event that the game ends in a tie. What is P(C), the probability of event C?

a. P(C) = 0.44

b. P(C) = 0.33

c. P(C) = 0.55

d. P(C) = 0.25

Define event B as the event that roommate B wins the game and thus does not have to wash the dishes.

What is the probability that roommate B wins the game?

a. P(B) = 0.67

b. P(B) = 0.43

c. P(B) = 0.33

d. P(B) = 0.50

What is the complement of event A?

Answers: 3

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A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors....

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