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?

Answer 1

a box matrix may help ... or even a tree

Answer 2

A. Events A and B are independent because P(A|B) = P(A).
B. Events A and B are independent because P(A|B) = P(B).
C. Events A and B are independent because P(A|B) = P(A) + P(B).
D. Events A and B are not independent because P(A| B) ≠ P(A).
E. Events A and B are not independent because P(A|B) = P(A).

Answer 3

so those are the statements and the rest are the details right?