Question Detail

STA 112 Quantifying Uncertainty Objective Question
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Question

Which formula represents the General Addition Rule for any two events E and F (not necessarily disjoint)?
Options
A P(E∪F) = P(E) + P(F)
B P(E∪F) = P(E) + P(F) – P(EF)
Correct Answer
C P(E∪F) = P(E) × P(F)
D P(E∪F) = P(E) / P(F)
Correct Answer

Option B is the correct answer.

Detailed Explanation

Slide 9 states the Theorem (Addition Rule for Any Two Events) as: 'P(E∪F) = P(E) + P(F) – P(EF)'.

Hint

Remember why the intersection term is subtracted when events are not disjoint—it's to correct for double-counting.

Question Info

Course: STA 112
Topic: Quantifying Uncertainty
Type: Objective
Difficulty: Not specified
Question 37 of 112
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