Respuesta :
Answer:
[tex]\text{A and B are independent events}, P(A|B)=P(A)=0.16[/tex]
Step-by-step explanation:
First of all we need to know when does two events become independent:
For the two events to be independent, [tex]P(A|B)=P(A)[/tex] that is if condition on one does not effect the probability of other event.
Here, in our case the only option that satisfies the condition for the events to be independent is [tex]P(A|B)=P(A)=0.16[/tex]. Rest are not in accordance with the definition of independent events.
The statement that is true about whether A and B are independent events is ''A and B are independent events because P(A∣B) = P(A) = 0.16''.
The correct option is A.
Independent events
Independent events are defined as the two events which do not affect by another event.
Given information
Alejandro surveyed his classmates to determine who has ever gone surfing and who has ever gone snowboarding.
Let A be the event that the person has gone surfing, and let B be the event that the person has gone snowboarding.
When one event's occurrence or non-occurrence doesn't affect the occurrence or non-occurrence of another event, then such events are called independent events.
The statement that is true about whether A and B are independent events is;
A and B are independent events because P(A∣B) = P(A) = 0.16.
Learn more here about independent events here:
brainly.com/question/3898488
