Geometry... Please help and I'll mark brainliest. Triangle proofs & reasons. Thank you

Which choice represents the sample space ,s for this event

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

Factor the monomial completely 42a3b3