0000 0000 The numbered disks shown are placed in a box and one disk is selected at random. Find the probability of selecting a green disk, given that the number selected is at least 3. green green green green green green green blue What is the probability of selecting a green disk, given that the number selected is at least 3? (Type an integer or a simplified fraction.)

A First Course in Probability (10th Edition)
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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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The image shows a probability question with a visual diagram of numbered disks.

**Text Description:**

The text reads:

"The numbered disks shown are placed in a box, and one disk is selected at random. Find the probability of selecting a green disk, given that the number selected is at least 3.

What is the probability of selecting a green disk, given that the number selected is at least 3? 
(Type an integer or a simplified fraction.)"

**Diagram Explanation:**

The diagram contains eight disks arranged in two rows. Each disk is labeled with a number and a color:

- Disk 1: Green
- Disk 2: Green
- Disk 3: Green
- Disk 4: Green
- Disk 5: Green
- Disk 6: Green
- Disk 7: Green
- Disk 8: Blue

**Solution Explanation:**

To solve the problem, note the conditions: numbers must be at least 3 (i.e., disks numbered 3 through 8 are considered). Among these disks (3, 4, 5, 6, 7, 8), five are green (3, 4, 5, 6, 7) and one is blue (8).

Hence, the probability of selecting a green disk from those numbered at least 3 is the number of green disks divided by the total number of disks considered:

Probability = Number of green disks (from 3 to 8) / Total number of disks (from 3 to 8) = 5/6.
Transcribed Image Text:The image shows a probability question with a visual diagram of numbered disks. **Text Description:** The text reads: "The numbered disks shown are placed in a box, and one disk is selected at random. Find the probability of selecting a green disk, given that the number selected is at least 3. What is the probability of selecting a green disk, given that the number selected is at least 3? (Type an integer or a simplified fraction.)" **Diagram Explanation:** The diagram contains eight disks arranged in two rows. Each disk is labeled with a number and a color: - Disk 1: Green - Disk 2: Green - Disk 3: Green - Disk 4: Green - Disk 5: Green - Disk 6: Green - Disk 7: Green - Disk 8: Blue **Solution Explanation:** To solve the problem, note the conditions: numbers must be at least 3 (i.e., disks numbered 3 through 8 are considered). Among these disks (3, 4, 5, 6, 7, 8), five are green (3, 4, 5, 6, 7) and one is blue (8). Hence, the probability of selecting a green disk from those numbered at least 3 is the number of green disks divided by the total number of disks considered: Probability = Number of green disks (from 3 to 8) / Total number of disks (from 3 to 8) = 5/6.
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