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
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Author:Amos Gilat
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**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.
Transcribed Image Text:**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.)
Transcribed Image Text:### 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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