Frage 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.

It is 4/5Richtige Antwort
It and the probability of the event add up to 1Richtige Antwort
It is 1/4, found by taking 1 off the denominator
It is larger than the probability that the event happensRichtige Antwort
It is 1/5 as well, because the same event is being described

Erklärung

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.

Erklärung

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