Answer:
Option 2 and option 3 are mutually exclusive events.
Explanation:
Given some events. we have to find the mutually exclusive events from the given events.
Two events said to be mutually exclusive if they cannot both occur at the same time or we can say their intersection is
First option: being a girl and playing soccer
The above event can be possible it is not necessary that their intersection is 0. A girl can play soccer ∴ not mutually exclusive
Second Option: being in California and being in Florida
The above event is mutually exclusive ∵ these two cannot occur at the same time i.e the person either in California or in Florida.
Third Option: being 5 years old and playing professional football.
The above event is mutually exclusive ∵ being 5 yrs not play professional football.
Fourth and fifth Option: being short and playing basketball, being tall and playing football
The above events are not mutually exclusive being short or being tall can play basketball and football i.e their intersection can not be
Hence, option 2 and option 3 are mutually exclusive events.