Question

are the events \passing your physics class\ and \passing your calculus class\ independent events? why or why not?

yes because the occurrence (or nonoccurrence) of one of them does not affect the probability of the occurrence of the other event.

yes because the occurrence (or nonoccurrence) of one of them affects the probability of the occurrence of the other event.

yes because they both cannot happen at the same time.

no because the occurrence (or nonoccurrence) of one of them affects the probability of the occurrence of the other event.

no because they can both happen at the same time.

no because the occurrence (or nonoccurrence) of one of them does not affect the probability of the occurrence of the other event.

no because they both cannot happen at the same time.

yes because they can both happen at the same time.

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Explanation:

Two events are independent if the occurrence (or non - occurrence) of one does not affect the probability of the occurrence of the other. Passing a physics class and passing a calculus class are not inherently related in a way that the passing or failing of one affects the passing or failing of the other. They can both happen simultaneously, and this has no bearing on their independence. Independence is about the lack of influence on probabilities.

Answer:

Yes because the occurrence (or nonoccurrence) of one of them does not affect the probability of the occurrence of the other event.