Asurvey was taken of children between the ages of 3 and 7. let a be the event that the person has 2 siblings and let b be the event that the person does not have a pet.

which statement is true about whether a and b are independent events?

the table and answers to choose are shown in the picture

answer:

option a is correct

step-by-step explanation:

a   and b   are independent events

p(a and b) = p(a) * p(b)

now we find

now we replace p(a   and b)

cancel out p(b) at the top and bottom

so p(a|b)= p(a)

let a be the event that the person has 2 siblings and let b be the event that the person does not have a pet.

from the table we can see that probability that the person has 2 siblings given that the person does not have a pet is 18% that is 0.18

so p(a|b) = p(a) = 0.18