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? Multiple choice:

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).

Answer 1

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).