A statistics teacher plays a game with her class for all 180 days of the school year. The teacher has a bag with two marbles in it that are identical in size. One marble is green and the other is red.

A statistics teacher plays a game with her class for all 180 days of the school year. The teacher has a bag with two marbles in it that are identical in size. One marble is green and the other is red. Every day at the conclusion of class, the teacher randomly selects a marble from the bag. If the marble is green, there will be no homework that day. If the red marble is selected there will be homework that day. Let H = the number of homework assignments for the entire year.