EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Conditional Probability & Bayes' Theorem · Question 37 of 125

Question 37

MediumOriginal question

P(A)=0.8P(A) = 0.8 and P(B∣A)=0.5P(B \mid A) = 0.5. What is P(A∩B)P(A \cap B)?

Options for question 37

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. Multiplication theorem: P(A∩B)=P(A) P(B∣A)P(A \cap B) = P(A)\,P(B \mid A).

  2. 0.8×0.5=0.40.8 \times 0.5 = 0.4.

Worth noting

0.625 divides, 0.50.8\frac{0.5}{0.8}; the theorem multiplies.

Concept
The multiplication theorem
Typical time
90 s
Your time
—
The rule this testsThe multiplication theorem
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.