Question

According to a​ poll, about 19​% of adults in a country bet on professional sports. Data indicates that 47.9​% of the adult population in this country is male. Complete parts​ (a) through​ (e). ​(a) Are the events​ "male" and​ "bet on professional​ sports" mutually​ exclusive? Explain. A. Yes. A person cannot be both male and bet on professional sports at the same time. B. Yes. A person can be both male and bet on professional sports at the same time. C. No. A person can be both male and bet on professional sports at the same time. D. No. A person cannot be male and bet on professional sports at the same time.

Answer 1

Answer:

The correct option is C.

Step-by-step explanation:

Two events are disjoint or mutually exclusive if they cannot occur together.  

That is, if two events are mutually exclusive, then the probability of them both taking place at one time is null.

That is, if events A and B are mutually exclusive then, P (A and B) = 0.

The events in this case can be defined as follows:

A = adults in a country bet on professional sports

B = male adults

The two events A and B are not mutually exclusive. This is because an adult in a country betting on professional sports can either be a male or a female.

So, a person can be both male and bet on professional sports at the same time.

Thus, the events A and B are not mutually exclusive.

The correct option is C.