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

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Question: If a vaccine has a 90% success rate and is administered to 500 individuals, how many individuals are expected to remain unprotected?

Options:

Correct Answer: 50

Solution:

With a 90% success rate, 10% will remain unprotected. 10% of 500 is 50 individuals.

If a vaccine has a 90% success rate and is administered to 500 individuals, how many individuals are expected to remain unprotected?

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.