Question: 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.

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 five 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.

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