Definitions of Independent Events
I.
If the probability that a test taker uses a guessing strategy is $$0.3$$, the probability of scoring in the 0–59 range is $$0.2$$, and these events are independent, their joint probability is $$0.3 \times 0.2 = 0.06$$.
II.
If the conditional probability $$P(\text{Guess} | \text{Score 0–59})$$ is not equal to $$P(\text{Guess})$$, then the two events are not independent.
III.
Two events are independent if and only if the conditional probability of one event given the other is equal to the marginal probability of that event.
Which of the above statements is/are true?
A
I and III only
B
I, II, and III
C
II and III only
D
I only
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