Assume that both roommates' choices of rock, paper, or scissors are random, independent, and equally likely. Let RA, RB, PA, PB, SA, and SB 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 (RA, RB), and so on for the other possibilities. Define event A as the event that roommate A wins the game and gets to sit in the front seat. Event A is composed of the following sample points: O A = {(RA, PB), (PA, SB ), (SA, RB)} O A = {(RA, RB), (RA, SB ), (PA, RB), (SA, PB )} O A = {(RA, SB ), (PA, RB), (SA, PB )} O A = {(PA, RB), (Sa, PB )} What is the probability of event A? O 0.50 O 0.33 O 0.11 O 0.90
Assume that both roommates' choices of rock, paper, or scissors are random, independent, and equally likely. Let RA, RB, PA, PB, SA, and SB 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 (RA, RB), and so on for the other possibilities. Define event A as the event that roommate A wins the game and gets to sit in the front seat. Event A is composed of the following sample points: O A = {(RA, PB), (PA, SB ), (SA, RB)} O A = {(RA, RB), (RA, SB ), (PA, RB), (SA, PB )} O A = {(RA, SB ), (PA, RB), (SA, PB )} O A = {(PA, RB), (Sa, PB )} What is the probability of event A? O 0.50 O 0.33 O 0.11 O 0.90
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:Let event C be the event that the game ends in a tie.
Event C is composed of the following sample points:
O c = {(RA, RB), (PA, PB), (SA, SB)}
O c= {(RA, RB), (RA, PB ), (RA, SB), (PA, RB), (PA, PB), (PA, SB), (SA, RB), (SA, SB)}
O c = {(RA, RB), (RA, PB ), (RA, SB), (PA, RB), (PA, PB)}
Oc= {(RA, RB), (RA, PB ), (PA, PB), (SA, PB), (SA, SB)}
What is the probability of event C?
O 0.75
O 0.03
classical approach
O 0.11
relative frequency approach
O 0.33
subjective approach
These probabilities were assigned using the
Transcribed Image Text:Assume that both roommates' choices of rock, paper, or scissors are random, independent, and equally likely. Let RA, RB, PA, PB, SA, and
Sg 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 (RA, RB), and so on for the other possibilities.
Define event A as the event that roommate A wins the game and gets to sit in the front seat.
Event A is composed of the following sample points:
O A = {(RA, PB ), (PA, SB ), (SA, RB)}
O A = {(RA, RB), (RA, SB ), (PA, RB), (SA, PB )}
O A = {(RA, SB ), (PA, RB), (SA, PB )}
O A = {(PA, RB), (SA, PB )}
What is the probability of event A?
O 0.50
O 0.33
O 0.11
O 0.90
O O O
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