Question

Select Independent or Not independent for each description of events.

look at the image

Answer 1

Not Independent , Independent , Not Independent

Explanation:

Two events A and B are said to be independent when:

P(A ∩ B) = P(A) × P(B)

In the question P(A|B) is given i.e the probability of event A given that event B has already occured.

P(A|B) = P(A ∩ B) ÷ P(B)

If A and B are independent , the probability of A is not affected by B.

In terms of equation:

P(A|B) = P(A ∩ B)÷ P(B)

= [P(A)×P(B)] ÷ P(B)

= P(A)

Only in the second option we can see :

P(A|B) = P(A) = 0.2

Hence the events A and B are independent only in second case.