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Conditional Probability & Bayes' Theorem · Question 56 of 125

Question 56

EasyOriginal question

AA and BB are independent with P(A)=0.35P(A) = 0.35 and P(B)=0.6P(B) = 0.6. What is P(A′∣B)P(A' \mid B)?

Options for question 56

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. A′A' and BB are independent too, so knowing BB changes nothing: P(A′∣B)=P(A′)P(A' \mid B) = P(A').

  2. P(A′)=1−0.35=0.65P(A') = 1 - 0.35 = 0.65.

Worth noting

0.35 is P(A∣B)=P(A)P(A \mid B) = P(A); the question asks for the complement.

Concept
Complements of independent events
Typical time
60 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.