Question

The probability of a student scoring 75% in class work is 0.64, and the probability of a student scoring 85% is 0.45.Event A: The student scores 75%.
Event B: The student scores 85%.
The probability of a student scoring 85% in class work, given that they have already scored 75% in class work, is 0.55. The probability of a student scoring 75% in class work, given that they have already scored 85% in class work, is 1.
Which statement is true?
Events A and B are independent because P(A|B) = P(A).Events A and B are independent because P(A|B) = P(B).Events A and B are independent because P(A|

Answer 1

Events A and B are independent because P(A|B) = P(A).
Events A and B are independent because P(A|B) = P(B).
Events A and B are independent because P(A|B) = P(A) + P(B).
Events A and B are not independent because P(A| B) ≠ P(A).
Events A and B are not independent because P(A|B) = P(A).these are my choices

Answer 2

If A = scoring 75% , B = scoring 85%
P(A|B) =1
P(A) = .64
Events A and B are not independent because P(A|B) =/= P(A) ,