Question

A person will either become infected with influenza during the current flu season or will not become infected with influenza during the current flu season. These two possible outcomes are considered mutually exclusive.
True or False?

Answer 1

Answer:

True    

Step-by-step explanation:

We are given the following in the question:

A: Person will be infected with influenza during the current flu

B: Person will not be infected with influenza during the current flu

Mutually exclusive event:

• Mutually exclusive events are the events which cannot happen together or at the same time.

$P(A\cap B) = 0$

• These event cannot occur at the same time.
• Thus, they are disjoint events.

Since, a person can and cannot be infected with influenza at the same time, thus,

$P(A\cap B) = 0$

Thus, the two possible outcomes are considered mutually exclusive.

Thus, the given statement is true.