If a vaccine has a 90% success rate and is administered to 500 individuals, how

Practice Questions

Q1
If a vaccine has a 90% success rate and is administered to 500 individuals, how many individuals are expected to remain unprotected?
  1. 50
  2. 100
  3. 200
  4. 300

Questions & Step-by-Step Solutions

If a vaccine has a 90% success rate and is administered to 500 individuals, how many individuals are expected to remain unprotected?
  • Step 1: Understand that a 90% success rate means the vaccine protects 90% of the people who receive it.
  • Step 2: Calculate the percentage of people who will not be protected. Since 90% are protected, the remaining percentage is 100% - 90% = 10%.
  • Step 3: Determine how many individuals are in the group. In this case, there are 500 individuals.
  • Step 4: Calculate 10% of 500 to find out how many individuals will remain unprotected. This is done by multiplying 500 by 0.10 (which is 10%).
  • Step 5: Perform the calculation: 500 * 0.10 = 50.
  • Step 6: Conclude that 50 individuals are expected to remain unprotected.
  • Probability and Success Rate – Understanding how to calculate the number of individuals remaining unprotected based on a given success rate.
  • Basic Arithmetic – Applying percentage calculations to a total number of individuals.
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