A local gym offers its members the opportunity to choose between two fitness classes: yoga and dance. Of the 400 gym members, 300 regularly attend yoga, 80 regularly attend dance, and 50 regularly attend yoga and
dance. Using this information, answer each of the following questions.
Let Y be the event that a randomly selected gym member regularly attends yoga and D be the event that a
randomly selected gym member regularly attends dance.
What is P(Y), the probability that a gym member attends yoga?
What is P(D), the probability that a gym member attends dance?
What is P(Y and D), the probability that a gym member attends yoga and dance?
What is P(Y or D), the probability that a gym member attends yoga or dance?