A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A balls, 5 type B balls, and 3 type C balls, find the probability that the golf ball is not a tvpe A ball.
A golf ball is selected at random from a golf bag. If the golf bag contains 8 type A balls, 5 type B balls, and 3 type C balls, find the probability that the golf ball is not a tvpe A ball.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.CR: Chapter Review
Problem 77E
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Question
![**Problem Description:**
A golf ball is selected at random from a golf bag. The golf bag contains:
- 8 type A balls
- 5 type B balls
- 3 type C balls
**Question:**
Find the probability that the golf ball selected is not a type A ball.
**Solution:**
Calculate the probability that the ball is not a type A ball.
1. **Total Number of Balls:**
- Type A balls: 8
- Type B balls: 5
- Type C balls: 3
- Total = 8 + 5 + 3 = 16
2. **Number of Non-Type A Balls:**
- Type B and Type C balls = 5 + 3 = 8
3. **Probability Calculation:**
\[
\text{Probability (Not a Type A ball)} = \frac{\text{Number of Non-Type A Balls}}{\text{Total Number of Balls}} = \frac{8}{16} = 0.5
\]
**Answer:**
The probability that the golf ball is not a type A ball is **0.5**.
(Type an integer or decimal rounded to three decimal places as needed.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbbc5a25-accf-43ca-bc8a-a8588e512bd0%2F1ab687fd-3534-42a3-9294-1d7b692ef3f0%2Ff6fz63_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
A golf ball is selected at random from a golf bag. The golf bag contains:
- 8 type A balls
- 5 type B balls
- 3 type C balls
**Question:**
Find the probability that the golf ball selected is not a type A ball.
**Solution:**
Calculate the probability that the ball is not a type A ball.
1. **Total Number of Balls:**
- Type A balls: 8
- Type B balls: 5
- Type C balls: 3
- Total = 8 + 5 + 3 = 16
2. **Number of Non-Type A Balls:**
- Type B and Type C balls = 5 + 3 = 8
3. **Probability Calculation:**
\[
\text{Probability (Not a Type A ball)} = \frac{\text{Number of Non-Type A Balls}}{\text{Total Number of Balls}} = \frac{8}{16} = 0.5
\]
**Answer:**
The probability that the golf ball is not a type A ball is **0.5**.
(Type an integer or decimal rounded to three decimal places as needed.)
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