A local gym offers its members the opportunity to choose between two fitness classes: yoga and dance. Of the 400400400 gym members, 300300300 regularly attend yoga, 808080 regularly attend dance, and 505050 regularly attend yoga and dance. Using this information, answer each of the following questions.
Let YYY be the event that a randomly selected gym member regularly attends yoga and DDD be the event that a randomly selected gym member regularly attends dance.
What is P(Y)P(Y)P, left parenthesis, Y, right parenthesis, the probability that a gym member attends yoga?
What is P(D)P(D)P, left parenthesis, D, right parenthesis, the probability that a gym member attends dance?
What is P(Y\text{ and }D)P(Y and D)P, left parenthesis, Y, start text, space, a, n, d, space, end text, D, right parenthesis, the probability that a gym member attends yoga and dance?
What is P(Y\text{ or }D)P(Y or D)P, left parenthesis, Y, start text, space, o, r, space, end text, D, right parenthesis, the probability that a gym member attends yoga or dance?