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If the probability of a student passing an exam is 0.75, what is the probability

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Question: If the probability of a student passing an exam is 0.75, what is the probability that the student fails?

Options:

  1. 0.25
  2. 0.5
  3. 0.75
  4. 0.1

Correct Answer: 0.25

Solution: 

The probability of failing is 1 - P(passing) = 1 - 0.75 = 0.25.

If the probability of a student passing an exam is 0.75, what is the probability

Practice Questions

Q1
If the probability of a student passing an exam is 0.75, what is the probability that the student fails?
  1. 0.25
  2. 0.5
  3. 0.75
  4. 0.1

Questions & Step-by-Step Solutions

If the probability of a student passing an exam is 0.75, what is the probability that the student fails?
  • Step 1: Understand that the probability of passing the exam is given as 0.75.
  • Step 2: Know that the total probability of all outcomes (passing and failing) must equal 1.
  • Step 3: To find the probability of failing, subtract the probability of passing from 1.
  • Step 4: Calculate the probability of failing: 1 - 0.75.
  • Step 5: Perform the calculation: 1 - 0.75 = 0.25.
  • Step 6: Conclude that the probability of the student failing the exam is 0.25.
  • Probability Basics – Understanding the relationship between passing and failing probabilities, where the sum of both probabilities equals 1.
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