Question Detail

STA 112 Quantifying Uncertainty Objective Question
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Question

The Complement Rule states that for any event E, P(Ec) = 1 - P(E). Which axiom is used in the derivation to state that P(S) = P(E) + P(Ec)?
Options
A Non-negativity
B Probability of the Sample Space
C Additivity for Disjoint Events
Correct Answer
D General Addition Rule
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 8, under 'Derivation' for the Complement Rule, explicitly states: 'Using Axiom 3: P(S) = P(E U Ec) = P(E) + P(Ec)'. Axiom 3 is 'Additivity for Disjoint Events', and E and Ec are mutually exclusive.

Hint

Consider the relationship between E and Ec – are they mutually exclusive?

Question Info

Course: STA 112
Topic: Quantifying Uncertainty
Type: Objective
Difficulty: Not specified
Question 20 of 112
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