1. A recent study published in the Toronto Globe and Mail reveals that 25% of mathematics degrees from Canadian universities and colleges are awarded to women. If ?ve recent graduates from Canadian universities and colleges are selected at random, what is the probability  that

a. At least one would be a woman.

b. None of them would be a woman.

2. An article published in Access magazine states that according to a survey conducted by the American Management Association, 78% of major U.S. companies electronically monitor their employees. If ?ve such companies are selected at ran- dom, ?nd the probability  that

a. At most one company monitors its employees electronically.

b. All of them monitor their employees electronically.