Consider the game of rock-paper-scissors to be an experiment. How many outcomes are in the sample space of this experiment? 9 12 2 8 Assume that both roommates’ choices of rock, paper, or scissors are random, independent, and equally likely. Let RARA , RBRB , PAPA , PBPB , SASA , and SBSB denote roommate A choosing rock, roommate B choosing rock, roommate A choosing paper, roommate B choosing paper, roommate A choosing scissors, and roommate B choosing scissors, respectively. Additionally, let the sample point consisting of roommates A and B both selecting rock be denoted parenthetically as ( RARA , RBRB ), and so on for the other possibilities.

[tex]Let:\\ R_A$=roommate A choosing rock\\R_B$=roommate B choosing rock\\ P_A$= roommate A choosing paper\\ P_B$=roommate B choosing paper\\S_A$=roommate A choosing scissors\\S_B$=roommate B choosing scissors[/tex]

The possible outcomes are:

[tex]R_AR_B\\R_AP_B\\R_AS_B\\P_AR_B\\P_AP_B\\P_AS_B\\S_AR_B\\S_AP_B\\S_AS_B[/tex]

Therefore, there are 9 outcomes in the sample space of this experiment.