Question Detail

STA 112 Quantifying Uncertainty Objective Question
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Question

Rearranging the definition of conditional probability leads to the Multiplication Rule for finding joint probabilities. Which formula represents this rule for two events E and F?
Options
A P(E ∪ F) = P(E) + P(F) – P(EF)
B P(EF) = P(F) · P(E|F)
Correct Answer
C P(E|F) = P(E)
D P(E) = &Sigma;P(E|F<sub>i</sub>)P(F<sub>i</sub>)
Correct Answer

Option B is the correct answer.

Detailed Explanation

Slide 16 explicitly states the Multiplication Rule: 'P(EF) = P(F) · P(E|F)'.

Hint

This rule allows you to calculate the probability of *both* E and F occurring.

Question Info

Course: STA 112
Topic: Quantifying Uncertainty
Type: Objective
Difficulty: Not specified
Question 11 of 112
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