beats Scissors, Scissors beat Paper, Paper beats Rock. If you make your choice random, then Win, Loss, and Draw are equally likely (probability 1/3 each). Which formula expresses the probability that you win 4 games out of 10 with this random choice?  The two outcomes needed for the BPF here are: either you win, or you don't (Loss and Draw combined).  a. 10C4 (1/3)^4 (1/3)^6 b. 10C4 (1/3)^4 (2/3)^6 c. None of the other answers is correct. d. 6C4 (1/3)^4 (2/3)^6 e. 10C4 (2/3)^4 (1/3)^6

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...
icon
Related questions
Topic Video
Question

You play Rock-Paper-Scissors against a friend. 
(If you don't know the game: in each round, you both have to choose either Rock, Paper, or Scissors. 
Rock beats Scissors, Scissors beat Paper, Paper beats Rock.
If you make your choice random, then Win, Loss, and Draw are equally likely (probability 1/3 each).

Which formula expresses the probability that you win 4 games out of 10 with this random choice? 

The two outcomes needed for the BPF here are: either you win, or you don't (Loss and Draw combined). 


a. 10C4 (1/3)^4 (1/3)^6
b. 10C4 (1/3)^4 (2/3)^6
c. None of the other answers is correct.
d. 6C4 (1/3)^4 (2/3)^6
e. 10C4 (2/3)^4 (1/3)^6
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Discrete Probability Distributions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON