The game of pool uses 15 balls numbered from 1 to 15 (see figure). In the game of rotation, a player attempts to "sink" a ball in a pocket of the table and receives the number of points on the ba Answer the question. How many points would a player who "runs the table" receive? (To "run the table" means to sink all the balls.) points 13

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
icon
Concept explainers
Topic Video
Question
### Pool Game Scenario

In the game of pool, 15 balls are used, numbered from 1 to 15. Below is a detailed explanation based on the image provided.

#### Game Rules:
- The game depicted is called "rotation."
- Players aim to "sink" balls in pockets on the table.
- Players receive points equivalent to the number on the ball they sink.

#### Objective:
- The question posed is: How many points would a player score if they "run the table"? (To "run the table" means the player sinks all 15 balls.)

#### Diagram Explanation:
The diagram shows the arrangement of the 15 balls as they are positioned on the pool table:

- The balls are arranged in a triangular formation with a base of 5 balls, followed by rows of 4, 3, 2, and 1 ball at the apex.
- The balls are color-coded and numbered as follows:
  - **Row 1** (Base): 4, 14, 12, 6, 15
  - **Row 2**: 13, 9, 8, 3
  - **Row 3**: 10, 1, 11
  - **Row 4**: 2, 7
  - **Row 5** (Apex): 5

The cumulative point total for sinking all balls would be the sum of the numbers 1 through 15.
Transcribed Image Text:### Pool Game Scenario In the game of pool, 15 balls are used, numbered from 1 to 15. Below is a detailed explanation based on the image provided. #### Game Rules: - The game depicted is called "rotation." - Players aim to "sink" balls in pockets on the table. - Players receive points equivalent to the number on the ball they sink. #### Objective: - The question posed is: How many points would a player score if they "run the table"? (To "run the table" means the player sinks all 15 balls.) #### Diagram Explanation: The diagram shows the arrangement of the 15 balls as they are positioned on the pool table: - The balls are arranged in a triangular formation with a base of 5 balls, followed by rows of 4, 3, 2, and 1 ball at the apex. - The balls are color-coded and numbered as follows: - **Row 1** (Base): 4, 14, 12, 6, 15 - **Row 2**: 13, 9, 8, 3 - **Row 3**: 10, 1, 11 - **Row 4**: 2, 7 - **Row 5** (Apex): 5 The cumulative point total for sinking all balls would be the sum of the numbers 1 through 15.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Sample space, Events, and Basic Rules of Probability
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.
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