Ten percent of American adults devote so much time to playing video games either on a console, computer, or cell phone that they consider themselves to be “gamers” according to a Pew Research Center report. Suppose that a random sample of 25 American adults is drawn and each is asked whether they consider themselves to be gamers. Determine the probability of the following events.

a. 3 or more consider themselves to be gamers

b. Exactly 2 consider themselves to be gamers

c. 3 or fewer consider themselves to be gamers