If a vaccine reduces the risk of infection by 75%, what is the probability of in

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Question: If a vaccine reduces the risk of infection by 75%, what is the probability of infection after vaccination if the initial probability of infection is 0.2? (2020)

Options:

0.05
0.1
0.15
0.2

Correct Answer: 0.1

Exam Year: 2020

Solution:

The probability of infection after vaccination = Initial probability × (1 - reduction) = 0.2 × (1 - 0.75) = 0.2 × 0.25 = 0.05.

If a vaccine reduces the risk of infection by 75%, what is the probability of in

Practice Questions

If a vaccine reduces the risk of infection by 75%, what is the probability of infection after vaccination if the initial probability of infection is 0.2? (2020)

0.05
0.1
0.15
0.2

Questions & Step-by-Step Solutions

If a vaccine reduces the risk of infection by 75%, what is the probability of infection after vaccination if the initial probability of infection is 0.2? (2020)

Step 1: Identify the initial probability of infection, which is given as 0.2.
Step 2: Identify the reduction in risk due to the vaccine, which is 75%.
Step 3: Convert the percentage reduction into a decimal by dividing by 100. So, 75% becomes 0.75.
Step 4: Calculate the remaining risk after vaccination by subtracting the reduction from 1. This is 1 - 0.75 = 0.25.
Step 5: Multiply the initial probability of infection (0.2) by the remaining risk (0.25). This is 0.2 × 0.25.
Step 6: Perform the multiplication: 0.2 × 0.25 = 0.05.
Step 7: The result, 0.05, is the probability of infection after vaccination.

Probability Reduction – Understanding how to calculate the new probability of an event occurring after applying a reduction factor.

If a vaccine reduces the risk of infection by 75%, what is the probability of in

What’s inside this PDF?

If a vaccine reduces the risk of infection by 75%, what is the probability of in

Practice Questions

Questions & Step-by-Step Solutions

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