**Educational Content: Probability with Spinners****Objective:** Understand how to calculate the probability of a spinner landing on a specific color.**Problem Statement:**Evaluate the probability that the spinner shown will land on (a) red, (b) yellow, and (c) green.**Diagram Description:**The image displays a circular spinner divided into six segments:- Four segments are red.- One segment is yellow.- One segment is green.**Probability Calculation:**(a) *Red Segments:*- Total segments = 6- Number of red segments = 4The probability of landing on red is calculated as:\[ \text{Probability (Red)} = \frac{\text{Number of Red Segments}}{\text{Total Segments}} = \frac{4}{6}. \]**Further Instructions:**- Enter the probability in the answer box.- Type your answer as an integer or a simplified fraction.**Additional Information:**This exercise helps in understanding basic probability concepts by using a visual tool like a spinner to illustrate outcomes and their likelihoods. ### Problem StatementAnne randomly chooses a single ball from the can shown here. Find the odds against the event of picking a red (R) ball.### Diagram ExplanationThe diagram shows a can containing a total of 12 balls with the following colors:- 7 blue (B) balls- 1 red (R) ball- 4 yellow (Y) balls### TaskState the odds against picking a red ball in lowest terms.### CalculationTo find the odds against picking a red ball, first determine the number of non-red balls, which is the total number of balls minus the number of red balls:Total balls = 12 Number of red balls = 1 Number of non-red balls = 12 - 1 = 11So, the odds against picking a red ball are:\[ \text{Odds against red} = \frac{\text{Number of non-red balls}}{\text{Number of red balls}} = \frac{11}{1} \]### Response BoxThe odds against red are: **11 to 1** (Type whole numbers.)

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Give the probability that the spinner shown would land on (a) red, (b) yellow, and (c) green. red green yellow red red red

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

Topic Video

Question

**Educational Content: Probability with Spinners**

**Objective:** Understand how to calculate the probability of a spinner landing on a specific color.

**Problem Statement:**
Evaluate the probability that the spinner shown will land on (a) red, (b) yellow, and (c) green.

**Diagram Description:**
The image displays a circular spinner divided into six segments:
- Four segments are red.
- One segment is yellow.
- One segment is green.

**Probability Calculation:**

(a) *Red Segments:*
- Total segments = 6
- Number of red segments = 4

The probability of landing on red is calculated as:
\[ \text{Probability (Red)} = \frac{\text{Number of Red Segments}}{\text{Total Segments}} = \frac{4}{6}. \]

**Further Instructions:**
- Enter the probability in the answer box.
- Type your answer as an integer or a simplified fraction.

**Additional Information:**
This exercise helps in understanding basic probability concepts by using a visual tool like a spinner to illustrate outcomes and their likelihoods.

### Problem Statement
Anne randomly chooses a single ball from the can shown here. Find the odds against the event of picking a red (R) ball.

### Diagram Explanation
The diagram shows a can containing a total of 12 balls with the following colors:
- 7 blue (B) balls
- 1 red (R) ball
- 4 yellow (Y) balls

### Task
State the odds against picking a red ball in lowest terms.

### Calculation
To find the odds against picking a red ball, first determine the number of non-red balls, which is the total number of balls minus the number of red balls:

Total balls = 12
Number of red balls = 1
Number of non-red balls = 12 - 1 = 11

So, the odds against picking a red ball are:

\[ \text{Odds against red} = \frac{\text{Number of non-red balls}}{\text{Number of red balls}} = \frac{11}{1} \]

### Response Box
The odds against red are: **11 to 1** (Type whole numbers.)

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