Compute the Probability of an Event Using the Complement Rule

question 93

Multiple Choice

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) \(0.61\)

---

Definitions:

Mutually Exclusive

A statistical term describing events that cannot happen at the same time; each occurrence is independent and prevents any other from happening concurrently.

P(A ∩ B)

Represents the probability of both event A and event B occurring simultaneously.

Likelihood

The probability of a set of data or observed outcomes given a particular model or hypothesis.

Tossed

A term often used to describe the throwing of an object, such as a coin or a dice, in the context of chance or randomness.