af/servlet/quiz?quiz_action=takeQuiz&quiz_probGuid=QNAPCOA801010000 0031 JUTe 8. 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, cach person Scissors simultaneously displays a hand signal to indicate a rock, a piece beats paper 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 the. 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 schson 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 behaviour in other similar games, roommate B believes that there is a 0.28 probability that his roommate will choose rock and a 0.11 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) - 0.31 15 P(PA) $ 2 O SP( PA) 5 1 DO S P(PA) 5 0.1 P(PA) = 0.13 As wame 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? NOUR WE 20 FJ FA E# R.com/at/servlet/quiz?quiz_action=takeQuiz&quiz_probGuid=QNAPCOA801010009003138fe80 0606 DO&Ctx=Cynthia.maier-0016&c 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.) PLAYI If roommate B took the advice to choose the highest probability of winning, then roommate B 9 20 F3 E # % A &6. (10) Let us consider that a random experiment of flipping a fair coin FOUR time independently. Assume head and tail are equally likely. (a) What is the definition of the sample space for a random experiment? (b) Find the sample space for this random experiment. (Hint: use tree diagram.) (c) Define the event, Compute the probability of the event that has three heads and one tail in this random experiment using the sample-point method.signment | Read Chapter 6 | Back to Assignment Due Tuesday 10.10.17 at 11:00 PM Attempts Score: 14 1. The terminology of random experiments The definitions of four terms-random experiment, event, simple event, and sample space-are shown in the following table. For each definition, select the term it defines by clicking the appropriate radio button. Probability Terms Definition Random Experiment Event Simple Event Sample Space One specific outcome of a random O An action or process that results in one of O O several well-defined outcomes O The collection of all outcomes of a random experiment A collection of one of more outcomes of a O O random experiment Fucarity huton 7:38 PM TO/10/2017 PACKARD