Question

Select the correct answer. 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? 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 1

Answer:

Events A and B are not independent because P(A|B) ≠ P(A).

Step-by-step explanation:

We are given that the probability of a student scoring 75% in class work is 0.64, and the probability of a student scoring 85% is 0.45.

Given that a student scores 85%, it means he must have scored 75% too.

It means that event B is dependent on event A.

Therefore, events A and B are not independent because P(A|B) ≠ P(A).