Question

question 18 of 39
which two sets of events are most likely independent?
a. event a: a girl enjoys singing.
event b: the girl becomes a lawyer.
b. event a: a man has short hair.
event b: the mans father lives nearby.
c. event a: a driver texts while driving.
event b: the driver gets into an accident.
d. event a: a woman lives in alaska.
event b: the woman has a heavy winter coat.

Explanation:

Two events are independent if the occurrence of one does not affect the probability of the occurrence of the other.

• In option A, a girl's enjoyment of singing has no logical connection to her becoming a lawyer. One event does not influence the other.
• In option B, a man having short hair could potentially be influenced by his father's preferences or lifestyle (e.g., if his father has short hair and the man takes after him in grooming habits), so there might be a connection.
• In option C, texting while driving (Event A) is a known risk factor that increases the probability of getting into an accident (Event B), so they are not independent.
• In option D, living in Alaska (Event A) where the climate is cold makes it more likely that a woman has a heavy winter coat (Event B), so there is a causal - like relationship.

Answer:

A. Event A: A girl enjoys singing. Event B: The girl becomes a lawyer.