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Probability · Question 60 of 70

Question 60

EasyOriginal question

P(A)=0.42P(A) = 0.42, P(B)=0.48P(B) = 0.48 and P(A∩B)=0.16P(A \cap B) = 0.16. What is P(A∪B)P(A \cup B)?

Options for question 60

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. P(A∪B)=P(A)+P(B)−P(A∩B)P(A \cup B) = P(A) + P(B) - P(A \cap B).

  2. 0.42+0.48−0.16=0.740.42 + 0.48 - 0.16 = 0.74.

Worth noting

0.9 adds the two without removing the overlap.

Concept
The addition rule for two events
Typical time
60 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.