If the chance of contracting a disease is 1 in 500, what is the percentage chanc

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Question: If the chance of contracting a disease is 1 in 500, what is the percentage chance of not contracting the disease? (2023)

Options:

Correct Answer: 99.9%

Exam Year: 2023

Solution:

The chance of not contracting the disease = 1 - (1/500) = 499/500 = 0.998 = 99.8%.

If the chance of contracting a disease is 1 in 500, what is the percentage chance of not contracting the disease? (2023)

If the chance of contracting a disease is 1 in 500, what is the percentage chance of not contracting the disease? (2023)

Step 1: Understand that the chance of contracting the disease is given as 1 in 500.
Step 2: Convert the chance of contracting the disease into a fraction: 1/500.
Step 3: To find the chance of not contracting the disease, subtract the chance of contracting it from 1: 1 - (1/500).
Step 4: Calculate the result of the subtraction: 1 - (1/500) = 499/500.
Step 5: Convert the fraction 499/500 into a decimal: 499 divided by 500 equals 0.998.
Step 6: To find the percentage, multiply the decimal by 100: 0.998 * 100 = 99.8%.

Probability Calculation – Understanding how to calculate the probability of an event not occurring based on the probability of it occurring.