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If a student has a 70% chance of passing an exam, what is the probability of fai

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Question: If 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 - 0.7 = 0.3.

If a student has a 70% chance of passing an exam, what is the probability of fai

Practice Questions

Q1
If 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

If a student has a 70% chance of passing an exam, what is the probability of failing the exam?
  • Step 1: Understand that the total probability of all outcomes (passing and failing) is 100%.
  • Step 2: Convert 100% into a decimal, which is 1.0.
  • Step 3: Identify the probability of passing the exam, which is given as 70%.
  • Step 4: Convert 70% into a decimal, which is 0.7.
  • Step 5: To find the probability of failing, subtract the probability of passing from 1.0.
  • Step 6: Calculate: 1.0 - 0.7 = 0.3.
  • Step 7: The probability of failing the exam is 0.3.
  • Probability Basics – Understanding the relationship between passing and failing probabilities, where the sum of both probabilities equals 1.
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