Question 1023210: 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 by robertb(5830)   (Show Source):
You can put this solution on YOUR website! The first statement would be false: This is conditional probability which is equal to 0, since attaining a 75% precludes the event of getting an 85% in class work.
The second statement is true: Again this is conditional probability where one event (A) is a subset of another event (B). The occurrence of B warrants the occurrence of A.
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