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Probability · Question 61 of 70

Question 61

MediumOriginal question

P(A)=0.6P(A) = 0.6, P(B)=0.5P(B) = 0.5 and P(A∩B)=0.3P(A \cap B) = 0.3. What is the probability that neither AA nor BB happens?

Options for question 61

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. P(A∪B)=0.6+0.5−0.3=0.8P(A \cup B) = 0.6 + 0.5 - 0.3 = 0.8.

  2. Neither means the complement of A∪BA \cup B: 1−0.8=0.21 - 0.8 = 0.2.

Worth noting

0.8 is the probability that at least one happens; neither is what is left.

Concept
Neither of two events
Typical time
90 s
Your time
—
The rule this testsThe addition and complement rules
Practise this chapter →

Ten questions from Probability, at your own pace.

Practise this chapter →

Ten questions from Probability, at your own pace.