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A vaccine is 80% effective in preventing a disease. If 1000 people are vaccinate

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Question: A vaccine is 80% effective in preventing a disease. If 1000 people are vaccinated, how many are expected to still contract the disease? (2019)

Options:

  1. 100
  2. 200
  3. 300
  4. 400

Correct Answer: 100

Exam Year: 2019

Solution: 

If the vaccine is 80% effective, then 20% will still contract the disease. Therefore, expected cases = 20% of 1000 = 200.

A vaccine is 80% effective in preventing a disease. If 1000 people are vaccinate

Practice Questions

Q1
A vaccine is 80% effective in preventing a disease. If 1000 people are vaccinated, how many are expected to still contract the disease? (2019)
  1. 100
  2. 200
  3. 300
  4. 400

Questions & Step-by-Step Solutions

A vaccine is 80% effective in preventing a disease. If 1000 people are vaccinated, how many are expected to still contract the disease? (2019)
  • Step 1: Understand that the vaccine is 80% effective. This means it prevents 80% of people from getting the disease.
  • Step 2: Calculate the percentage of people who will still get the disease. Since 80% are protected, 100% - 80% = 20% will still contract the disease.
  • Step 3: Determine how many people are vaccinated. In this case, 1000 people are vaccinated.
  • Step 4: Calculate 20% of 1000 to find out how many people are expected to still get the disease. This is done by multiplying 1000 by 0.20 (which is 20%).
  • Step 5: Perform the calculation: 1000 * 0.20 = 200. Therefore, 200 people are expected to still contract the disease.
  • Vaccine Effectiveness – Understanding the percentage of effectiveness and how it relates to the number of people vaccinated.
  • Percentage Calculation – Calculating the number of individuals affected based on a percentage of a total population.
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