Question

what is the complementary probability of an event with a 0.70 probability of occurring? a. 0.50 b. 0.70 c. 0.30 d. 1.00

Explanation:

Step1: Recall the formula for complementary probability

The formula for the complementary probability \(P(\overline{A})\) of an event \(A\) is \(P(\overline{A})=1 - P(A)\), where \(P(A)\) is the probability of event \(A\) occurring.

Step2: Substitute the given value into the formula

Given \(P(A) = 0.70\), then \(P(\overline{A})=1 - 0.70\).

$$P(\overline{A})=1 - 0.70=0.30$$

Answer:

C. 0.30