A great prize is inside Box 1, 2, or 3. You choose Box 1. You are shown that Box 2 contains a rubber chicken. You are given a chance to change your choice.

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Presentation transcript:

A great prize is inside Box 1, 2, or 3. You choose Box 1. You are shown that Box 2 contains a rubber chicken. You are given a chance to change your choice. Should you stay with Box 1 or should you change to Box 3? Justify your answer.

Males (in thousands) Females (in thousands) Two year colleges Four year colleges Grad School What is P(female/graduate school)? What is P(female)? What is P(four year/male)?

MaterialRecycledNot Recycled Paper Metal Glass Plastic Other What is the probability that a sample of recycled waste is paper? What is the probability that a sample of recycled wasted is plastic? What is the probability that a sample of recycled waste is glass? Municipal Waste Collected (millions of tons)

Bill Payment OnlineBy Mail Male128 Female246 A utility company asked 50 of its customers whether they pay their bills online or by mail. What is the probability that a customer pays the bill online, given that the customer is male?

Applying Shampoo Directly to headInto hand first Male218 Female624 Researchers asked shampoo users whether they apply shampoo directly to the head, or indirectly using a hand. What is the probability that a respondent applies shampoo directly to the head, given that the respondent is female?

A school system compiled the following information from a survey it sent to people who were juniors 10 years earlier. * 85% of the students graduated * Of those that graduated, 90% were happy with their present job * Of those who did not graduate, 60% were happy with their present job. What is the probability that a person from the junior class 10 years ago graduated from high school and is happy with their present job?