I.

If the probability that a test taker uses the guess strategy is $$0.3$$ and the probability of scoring 0–59 is $$0.2$$, then assuming independence the joint probability would be $$0.3 \times 0.2 = 0.06$$.

II.

If the conditional probability $$P(\text{guess} | \text{score 0–59})$$ does not equal $$P(\text{guess})$$, then the two events are not independent.

III.

Two events are independent if and only if the conditional probability of one given the other equals its marginal probability.

Which of the above statements is/are true?