Answer the following questions. Write each answer as a fraction. A dart will be tossed and will land on a slice at random. (a) What is the probability that the dart lands on a white slice? 0 (b) What is the probability that the dart lands on a white slice, given that the dart lands on an odd-numbered slice? 0/0 X S ?
Answer the following questions. Write each answer as a fraction. A dart will be tossed and will land on a slice at random. (a) What is the probability that the dart lands on a white slice? 0 (b) What is the probability that the dart lands on a white slice, given that the dart lands on an odd-numbered slice? 0/0 X S ?
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...
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![### Probability Exercise: Dartboard Problem
#### Dartboard Description:
A dartboard is divided into 6 equally sized slices, each numbered from 1 to 6. Some slices are white, and some are grey, as depicted in the diagram below:
![Dartboard Diagram]
- Slice 1: White
- Slice 2: Grey
- Slice 3: Grey
- Slice 4: White
- Slice 5: Grey
- Slice 6: White
#### Questions:
A dart will be tossed and will land on a slice at random.
1. **What is the probability that the dart lands on a white slice?**
\[
\boxed{}
\]
2. **What is the probability that the dart lands on a white slice, given that the dart lands on an odd-numbered slice?**
\[
\boxed{}
\]
Please write each answer as a fraction.
### Explanation of Diagram:
The diagram is a circle divided into six equal segments, each labeled with numbers 1 through 6. Three of these segments (1, 4, 6) are white, while the other three segments (2, 3, 5) are grey. The labeling is consistent and allows for a clear determination of the colors of each numbered slice, which aids in solving the probability questions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F424746dd-29d3-476a-868c-5a06ada19580%2Ff69dc653-d223-4726-b9c9-892f13ae29c1%2F75g70ta_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Probability Exercise: Dartboard Problem
#### Dartboard Description:
A dartboard is divided into 6 equally sized slices, each numbered from 1 to 6. Some slices are white, and some are grey, as depicted in the diagram below:
![Dartboard Diagram]
- Slice 1: White
- Slice 2: Grey
- Slice 3: Grey
- Slice 4: White
- Slice 5: Grey
- Slice 6: White
#### Questions:
A dart will be tossed and will land on a slice at random.
1. **What is the probability that the dart lands on a white slice?**
\[
\boxed{}
\]
2. **What is the probability that the dart lands on a white slice, given that the dart lands on an odd-numbered slice?**
\[
\boxed{}
\]
Please write each answer as a fraction.
### Explanation of Diagram:
The diagram is a circle divided into six equal segments, each labeled with numbers 1 through 6. Three of these segments (1, 4, 6) are white, while the other three segments (2, 3, 5) are grey. The labeling is consistent and allows for a clear determination of the colors of each numbered slice, which aids in solving the probability questions.
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