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A student has a 70% chance of passing an exam. What is the probability of failin

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Question: A student has a 70% chance of passing an exam. What is the probability of failing the exam?

Options:

  1. 0.3
  2. 0.7
  3. 0.5
  4. 0.2

Correct Answer: 0.3

Solution: 

Probability of failing = 1 - Probability of passing = 1 - 0.7 = 0.3.

A student has a 70% chance of passing an exam. What is the probability of failin

Practice Questions

Q1
A student has a 70% chance of passing an exam. What is the probability of failing the exam?
  1. 0.3
  2. 0.7
  3. 0.5
  4. 0.2

Questions & Step-by-Step Solutions

A student has a 70% chance of passing an exam. What is the probability of failing the exam?
  • Step 1: Understand that the probability of passing the exam is given as 70%.
  • Step 2: Convert the percentage to a decimal. 70% is the same as 0.7.
  • Step 3: Know that the total probability of all outcomes (passing and failing) is always 1.
  • Step 4: To find the probability of failing, subtract the probability of passing from 1.
  • Step 5: Calculate: 1 - 0.7 = 0.3.
  • Step 6: The probability of failing the exam is 0.3.
  • Probability – Understanding the basic principles of probability, including complementary events.
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