Question Detail

STA 112 Quantifying Uncertainty Objective Question

Take CBT

In the General Addition Rule, P(E ∪ F) = P(E) + P(F) – P(EF), why is P(EF) subtracted?

A To account for mutually exclusive events.

B Because the intersection area is counted twice when P(E) and P(F) are added.

Correct Answer

C To ensure the total probability does not exceed 1.

D It is only subtracted when events E and F are independent.

Option B is the correct answer.

Slide 9 explicitly asks 'Why subtract P(EF)?' and answers 'Because the 'intersection' area is counted twice when we add P(E) and P(F).'

Visualize the Venn diagram of two overlapping sets.

Course: STA 112

Topic: Quantifying Uncertainty

Type: Objective

Difficulty: Not specified