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

Practice Questions

Q1
If the chance of contracting a disease is 1 in 500, what is the percentage chance of not contracting the disease? (2023)
  1. 99.8%
  2. 99.9%
  3. 98.5%
  4. 97.5%

Questions & Step-by-Step Solutions

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.
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