Question Detail

STA 112 Quantifying Uncertainty Objective Question

Question

The Complement Rule states that for any event E, the probability of its complement Ec is:
Options
A P(E<sup>c</sup>) = P(E) + 1
B P(E<sup>c</sup>) = P(E) - 1
C P(E<sup>c</sup>) = 1 – P(E)
Correct Answer
D P(E<sup>c</sup>) = P(E) / P(S)
Correct Answer

Option C is the correct answer.

Detailed Explanation

Slide 8 presents the Theorem (Complement Rule) as: 'P(Ec) = 1 – P(E)'.

Hint

The complement rule relates the probability of an event to the probability of it *not* happening, and it's derived from the axioms of probability.

Question Info