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26 July, 22:13

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).

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  1. 26 July, 22:20
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    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).
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