Home Gradas Personalizad Raviows Courso Materials signment 3 ded Assignmant | Re

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Home Gradas Personalizad Raviows Courso Materials signment 3 ded Assignmant | Read Chapter 6| Back to Assignmant Due Tuesday 10.10.17 at 11.:00 PM Attempts Score: 16 3. Assigning probability to events-Rock-paper-scissors #1 A common way for two peopie to settle a frivolous dispute is to play a game of rock-paper-sissors. In this game, each personScissors simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats sdissors, soissors beets paper, and paper beats rock. If both players select the same hand signal, the game results in a te. beats pap Paper beats me Two roommates, room mate A and roommate 6, are about to go cruising with a mutual friend and are arguing over who gets to sit in the front seat. Roommate A suggests a game ef rock-paper-scissors to settle the dispute. Rock beats scliasors Consider the game of rock-paper-sdssors to be a random experiment. How many outcomes are in the sample space of this random experiment? 0 10 Lat R R6 , and S6 dente roommate A doosing rock. roommate B osing rock. roommate A doong Apr. ronnat, heig paper, roommate A choosing scissors, and roommabe b choosing scissors, respectively Additionally, let the simple event consisting of roommates a and B both selecting rock be denoted parenthetically as (Ra, Ra), and so on for the other possibilitis Assume that both roornmates.choicesof rock, paper, or sassors are random, indeperdent, and equallylikely Define event A as the event that roommate A wins the game and gets to sit in the front seat Event A is cons posed of the following simple events What is the probability of event A O 0.67 O 0.11 7:41 PM 10/10/2017 2

Explanation / Answer

Solution:

Total number of outcomes =for every player we have 3 choice =3*3=9

For event A option D is correct {(Ra ,Sb),(Pa,Rb),(Sa,Pb)}

Probability of event A =3/9 =1/3=0.33

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