14) For his birthday party, Madonna's 3 students bought him a cake cut into 10 slices. a) How many ways are there to distribute 10 identical cake slices among 4 people, if each person gets at least 2 slices? (133) b) How many ways are there to distribute the 10-slice cake among 4 people, if half of the cake is ice cream cake and the other is red velvet cake? (83) 15) Suppose that one person in 3,000 people has a genetic disease. There is an excellent test for the disease. 99.1% of people with the disease test positive and only 0.02% who do not have the disease test positive. a) What is the probability that someone who tests positive has the genetic disease? (Round to 3 decimals). 0.713 b) What is the probability that someone who tests negative does not have the disease? (Round to 6 decimals), 0.999566
14) For his birthday party, Madonna's 3 students bought him a cake cut into 10 slices. a) How many ways are there to distribute 10 identical cake slices among 4 people, if each person gets at least 2 slices? (133) b) How many ways are there to distribute the 10-slice cake among 4 people, if half of the cake is ice cream cake and the other is red velvet cake? (83) 15) Suppose that one person in 3,000 people has a genetic disease. There is an excellent test for the disease. 99.1% of people with the disease test positive and only 0.02% who do not have the disease test positive. a) What is the probability that someone who tests positive has the genetic disease? (Round to 3 decimals). 0.713 b) What is the probability that someone who tests negative does not have the disease? (Round to 6 decimals), 0.999566
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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