A patient is diagnosed with a bacterial infection and is prescribed antibiotics.

Practice Questions

Q1
A patient is diagnosed with a bacterial infection and is prescribed antibiotics. If the bacteria have a resistance rate of 25%, what is the probability that a randomly selected bacterium is susceptible to the antibiotic?
  1. 25%
  2. 50%
  3. 75%
  4. 100%

Questions & Step-by-Step Solutions

A patient is diagnosed with a bacterial infection and is prescribed antibiotics. If the bacteria have a resistance rate of 25%, what is the probability that a randomly selected bacterium is susceptible to the antibiotic?
  • Step 1: Understand that the resistance rate of the bacteria is 25%.
  • Step 2: Recognize that if 25% of the bacteria are resistant, the remaining bacteria are susceptible.
  • Step 3: Calculate the percentage of susceptible bacteria by subtracting the resistance rate from 100%.
  • Step 4: Perform the calculation: 100% - 25% = 75%.
  • Step 5: Conclude that 75% of the bacteria are susceptible to the antibiotic.
  • Probability Calculation – Understanding how to calculate the probability of an event based on given percentages.
  • Bacterial Resistance – Knowledge of antibiotic resistance rates and their implications for treatment.
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