Answer:
Not Independent , Independent , Not Independent
Step-by-step 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.
