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Question 103

The probability that an event happens is 1/5. Select all statements that are true about the probability that this event does not happen. Select all that apply.

  1. It is 4/5Correct answer
  2. It and the probability of the event add up to 1Correct answer
  3. It is 1/4, found by taking 1 off the denominator
  4. It is larger than the probability that the event happensCorrect answer
  5. It is 1/5 as well, because the same event is being described

Explanation

The event either happens or it does not, and between them those two cases cover everything, so their probabilities total 1 and the case that is left over comes to 1 - 1/5 = 4/5, four times the share held by the event itself. Taking 1 away from the denominator to get 1/4 changes how many parts the whole is cut into rather than removing a share from the whole, and 1/4 together with 1/5 does not make a whole.

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Question 103: The probability that an event happens is 1/5. Select all… · Statistics and Probability · Questena