APFIVE Conditional Probability and Independence
In the previous question, the probability that a student uses a guessing strategy is $$0.3$$. However, if only $$0.25$$ of students who score below 60 used guessing, are the events “using guessing” and “scoring below 60” independent?
A
They would be independent if $$P(<60|Guess) = P(<60)$$, but that is not given.
B
No, because independence requires $$P(Guess|<60) = P(Guess)$$ and here $$0.25 \neq 0.3$$.
C
The events are complementary, not independent.
D
Yes, because any deviation is due to random chance.
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