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Conditional Probability & Bayes' Theorem · Question 62 of 125

Question 62

MediumOriginal question

AA and BB are independent with P(A)=0.6P(A) = 0.6 and P(B)=0.25P(B) = 0.25. What is P(A∩B′)P(A \cap B')?

Options for question 62

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. AA and B′B' are independent too, and P(B′)=0.75P(B') = 0.75.

  2. 0.6×0.75=0.450.6 \times 0.75 = 0.45.

Worth noting

0.15 is P(A∩B)P(A \cap B), with BB in place of its complement.

Concept
Probabilities with independent events
Typical time
90 s
Your time
—
The rule this testsIndependent events
Practise this chapter →

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.

Practise this chapter →

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.