Question

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

no because they can both happen at the same time.
no because they both cannot happen at the same time.
yes because the occurrence (or nonoccurrence) of one of them does not affect the probability of the occurrence of the other event.
no because the occurrence (or nonoccurrence) of one of them does not affect the probability of the occurrence of the other event.
no because the occurrence (or nonoccurrence) of one of them affects 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 can both happen at the same time.
yes because they both cannot 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 result of one affects the result of the other. For example, the knowledge and skills required for physics are different from those for calculus, and a student's performance in one does not directly influence their performance in the other.

Answer:

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