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.

Question

Mathematics

Henson

6 December, 07:52

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.

+1

Answers (2)

Know the Answer?

Jadyn Good · Answer 1

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

Martin Baker · Answer 2

Answer: Fourth option is correct.

Step-by-step 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.