Question Detail

STA 112 Quantifying Uncertainty Objective Question
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Question

In the General Addition Rule for any two events E and F, P(E∪F) = P(E) + P(F) – P(EF). Why is P(EF) subtracted?
Options
A To account for the non-negativity axiom.
B Because the intersection area is counted twice when P(E) and P(F) are added.
Correct Answer
C To ensure that the total probability does not exceed 1.
D It is only subtracted if the events are disjoint.
Correct Answer

Option B is the correct answer.

Detailed Explanation

Slide 9 clearly states: 'Why subtract P(EF)? Because the "intersection" area is counted twice when we add P(E) and P(F).'

Hint

Visualize a Venn diagram for two overlapping events and how their individual probabilities would sum up.

Question Info

Course: STA 112
Topic: Quantifying Uncertainty
Type: Objective
Difficulty: Not specified
Question 52 of 112
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