Problem
Determine whether the events $\mathrm{E}$ and $\mathrm{F}$ are independent or dependent. Justify your answer. (b) E: A randomly selected person accidentally killing a spider. F: A different randomly selected person accidentally swallowing a spider. A. E can affect the probability of $\mathrm{F}$ because the people were randomly selected, so the events are dependent. B. E cannot affect $\mathrm{F}$ and vice versa because the people were randomly selected, so the events are independent. C. E can affect the probability of $\mathrm{F}$, even if the two people are randomly selected, so the events are dependent. D. E cannot affect $\mathrm{F}$ because "person 1 accidentally killing a spider" could never occur, so the events are neither dependent nor independent.
Solution
Step 1 ：Based on the definition of independent events in probability, the occurrence of one event does not affect the occurrence of the other event. In this case, a person accidentally killing a spider does not affect a different person accidentally swallowing a spider. Therefore, these two events are independent.
Step 2 ：Final Answer: \(\boxed{\text{B. E cannot affect F and vice versa because the people were randomly selected, so the events are independent.}}\)
