If the probability of an event is 0.7, what is the probability of its complement

Practice Questions

Q1
If the probability of an event is 0.7, what is the probability of its complement?
  1. 0.3
  2. 0.7
  3. 1
  4. 0.5

Questions & Step-by-Step Solutions

If the probability of an event is 0.7, what is the probability of its complement?
  • Step 1: Understand that the probability of an event is given as 0.7.
  • Step 2: Know that the complement of an event is what happens when the event does not occur.
  • Step 3: Remember the formula for finding the probability of the complement: Probability of complement = 1 - P(event).
  • Step 4: Substitute the given probability into the formula: Probability of complement = 1 - 0.7.
  • Step 5: Calculate the result: 1 - 0.7 = 0.3.
  • Step 6: Conclude that the probability of the complement is 0.3.
  • Complementary Probability – The probability of the complement of an event is calculated as 1 minus the probability of the event itself.
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