Imagine a subject is taking part in a study to test a new cold medicine. The probability that the subject is taking drug A is 20%, that it is drug B is 30%, and that it is drug C is 50%. From past clinical trials, the probabilities that these drugs will improve his condition are A (20%), B (50%), and C (80%). What is the probability that he will improve? The probability is (Type an integer or decimal)

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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### Probability Problem: New Cold Medicine Study

#### Problem Statement

Imagine a subject is taking part in a study to test a new cold medicine. The probability that the subject is taking drug A is 20%, that it is drug B is 30%, and that it is drug C is 50%. From past clinical trials, the probabilities that these drugs will improve his condition are: 
- A (20%)
- B (50%)
- C (80%).

What is the probability that he will improve?

---

#### Calculation

The probability is _____. 

*(Type an integer or decimal)*
Transcribed Image Text:### Probability Problem: New Cold Medicine Study #### Problem Statement Imagine a subject is taking part in a study to test a new cold medicine. The probability that the subject is taking drug A is 20%, that it is drug B is 30%, and that it is drug C is 50%. From past clinical trials, the probabilities that these drugs will improve his condition are: - A (20%) - B (50%) - C (80%). What is the probability that he will improve? --- #### Calculation The probability is _____. *(Type an integer or decimal)*
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