Compute the Probability of an Event Using the Complement Rule
-The chart shows the probability of a certain disease for men by age. What is the probability that a randomly selected man between the ages of 55 and 64 does not have this disease?
$\begin{array}{l|l}
\text { Age } & \text { Probability of Disease } X \
\hline 20-24 & \text { less than } 0.008 \
25-34 & 0.009 \
35-44 & 0.14 \
45-54 & 0.39 \
55-64 & 0.42 \
65-74 & 0.67 \
75+ & 0.79
\end{array}$

A) $0.58$
B) $0.42$
C) $0.39$
D) $0.61$

Question

Compute the Probability of an Event Using the Complement Rule
-The chart shows the probability of a certain disease for men by age. What is the probability that a randomly selected man between the ages of 55 and 64 does not have this disease?
$\begin{array}{l|l}
\text { Age } & \text { Probability of Disease } X \
\hline 20-24 & \text { less than } 0.008 \
25-34 & 0.009 \
35-44 & 0.14 \
45-54 & 0.39 \
55-64 & 0.42 \
65-74 & 0.67 \
75+ & 0.79
\end{array}$

A) $0.58$
B) $0.42$
C) $0.39$
D) $0.61$

Quizplus · Accepted Answer

The complement rule states that the probability of not having the disease is 1 minus the probability of having the disease. For ages 55-64, the probability of having the disease is 0.42, so the probability of not having the disease is 1 - 0.42 = 0.58.