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If a disease has a 5% chance of being misdiagnosed, what is the probability of a

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Question: If a disease has a 5% chance of being misdiagnosed, what is the probability of a correct diagnosis? (2019)

Options:

  1. 0.95
  2. 0.90
  3. 0.85
  4. 0.80

Correct Answer: 0.95

Exam Year: 2019

Solution: 

The probability of a correct diagnosis = 1 - probability of misdiagnosis = 1 - 0.05 = 0.95.

If a disease has a 5% chance of being misdiagnosed, what is the probability of a

Practice Questions

Q1
If a disease has a 5% chance of being misdiagnosed, what is the probability of a correct diagnosis? (2019)
  1. 0.95
  2. 0.90
  3. 0.85
  4. 0.80

Questions & Step-by-Step Solutions

If a disease has a 5% chance of being misdiagnosed, what is the probability of a correct diagnosis? (2019)
  • Step 1: Understand that the disease has a 5% chance of being misdiagnosed.
  • Step 2: Convert the percentage of misdiagnosis into a decimal. 5% is the same as 0.05.
  • Step 3: To find the probability of a correct diagnosis, subtract the probability of misdiagnosis from 1. This is because the total probability must equal 1 (100%).
  • Step 4: Perform the calculation: 1 - 0.05 = 0.95.
  • Step 5: The result, 0.95, represents the probability of a correct diagnosis.
  • Probability – Understanding the relationship between the probability of an event and its complement.
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