In a carnival game, players try to toss marbles into a milk jug. One point is awarded when a marble hits the jug without going in, two points are awarded when a marble goes into the jug, and no points are awarded when a marble misses the jug completely. If Maurice scored m
points while playing the game, is m odd?

(1) Exactly three of Maurice's marbles hit the jug without going in.

(2) Exactly five of Maurice's marbles went into the jug.