If a vaccine reduces the risk of infection by 75%, what is the probability of in
Practice Questions
Q1
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 0.1? (2020)
0.025
0.075
0.1
0.5
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 0.1? (2020)
Step 1: Identify the initial probability of infection, which is given as 0.1.
Step 2: Understand that the vaccine reduces the risk of infection by 75%. This means that 75% of the initial risk is removed.
Step 3: Calculate the remaining risk after the reduction. To do this, subtract the reduction percentage from 1: 1 - 0.75 = 0.25.
Step 4: Multiply the initial probability of infection (0.1) by the remaining risk (0.25): 0.1 × 0.25.
Step 5: Perform the multiplication: 0.1 × 0.25 = 0.025.
Step 6: The final result, 0.025, is the new probability of infection after vaccination.
Probability Reduction – Understanding how to calculate the new probability of an event occurring after applying a reduction factor.
Basic Probability Calculation – Applying basic multiplication to find the adjusted probability based on initial conditions.
