Question Detail

STA 112 Quantifying Uncertainty Objective Question

Question

Which of the following statements correctly represents the first Axiom of Probability, 'Non-negativity'?
Options
A P(S) = 1.
B P(E) = 1 - P(E<sup>c</sup>).
C 0 ≤ P(E) ≤ 1.
Correct Answer
D P(E U F) = P(E) + P(F) - P(EF).
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 7 lists the three axioms, and the first axiom, 'Non-negativity,' states that '0 ≤ P(E) ≤ 1.'

Hint

Probabilities must always fall within a specific range.

Question Info