3, Rock-paper-scissors #2 A common way for two people to settle a frivolous disp

Question

3, Rock-paper-scissors #2 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 Scissors beats paper Paper beats rock On a given evening, two roommates, roommate A and roommate B, are arguing over who should control the television remote. Roommate A suggests a game of rock-paper-scissors to settle the dispute Rock beats scissors It's the first time that the roommates have played each other in rock-paper-scissors, so there is no history of the choices made by either roommate. However, roommate B thinks that the three possibilities for his roommate's choice of hand signal are not equally likely. Based on his roommate's behavior in other similar games, roommate B believes that there is a 0.17 probability that his roommate will choose rock and a 0.44 probability that his roommate will choose scissors. The probabilities are assigned using the Suppose that roommate B's probability assignments are correct. What can you say about P(PA), the probability that roommate A chooses paper? Check all that apply P(Pa)= 0.13 P(Pa) 0 P(Pa) 0.1 P(Pa)= 0.31 0.39 Assume that roommate B's probability assignments are correct. Roommate B would like to use the hand signal with the highest probability of winning the game. What would you advise roommate B to use? You can simulate a play of the game by basing the game's result on roommate B's probability assignments. That is, the chance that roommate A chooses rock is P(RA), the chance that he chooses paper is P(PA), and the chance that he chooses scissors is P(SA), where P(RA), P(PA), and P(SA) have been previously determined. Okay, play it now! (Click the red PLAY! icon to reveal roommate A's choice.)

Explanation / Answer

P(PA) = 1 - (0.17 + 0.44) = 0.39

So,

Option A and Option B are correct.

B should choose the first hand signal i.e. rock

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