Question

A survey 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?


A and B are independent events because P(A∣B) = P(A) = 0.18.


A and B are independent events because P(A∣B) = P(A) = 0.4.


A and B are not independent events because P(A∣B) = 0.4 and P(A) = 0.18.


A and B are not independent events because P(A∣B) = 0.18 and P(A) = 0.4.

Answer 1

A and B are not independent events ...option 4.

Answer 2

Answer: Fourth option is correct.

Explanation:

Since we have given that

A be the event that the person has 2 siblings.

B be the event that the person does not have a pet.

Since they are not independent events.

Because if P(A|B) = 0.18

in case if they are independent events then, P(A|B) = P(A).

But here P(A) = 0.4

So, they are not independent events.

Hence, Fourth option is correct.