"Servant to Servants" is a poem that was actually written by Robert Frost and in this poem, the speaker engages herself in an appreciation for her husband. The answer for this would be option D. Hope this answers your question.
In "a servant to servants," the speaker engages herself in A) a monologue
This poem is the story of a woman who suffers from mental illness as well as loneliness and sadness because she feels she has become a servant in the kind of life she has with her husband. She tells her story while she looks at the person who is camping outside-
The other options are incorrect because there's no interaction with other so it can not be a dialogue, she talks about the work but she doesn't get engaged on it, and she doesn't talk about her appreciation towards her husband.
Troy believes the lottery to be foolish because there is such a slim chance of winning that there is no point in it. This shows he is a cautious person and isn't gullible.