A jar contains nine black buttons and seven brown if nine button are picked at random what is the probability that exactly five of them are black is it perm or comb

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?