Chapter 6 Section 6 Tree Diagrams

Exercise 15 (page 314) Color blindness is a sex-linked inherited condition. Suppose: –5% of all men are color blind –0.4% of all women are color blind –Assume 50% of the population are men and 50% are women Draw a tree Diagram

Questions about Exercise 15 If you pick someone, at random, from the population, what is the probability that they are color blind? If you pick someone, at random, from the population, what is the probability that they are color blind female?

Exercise 15 Question If the person that you pick randomly is color blind, then what is the probability that they are a male? –Note that this is a conditional probability

Exercise 12 (page 314) Library Books Summary: –20% of the fiction books are worn and need to be replaced. –10% of the nonfiction books are worn and need to be replaced –Library’s holdings is 40% fiction and 60% nonfiction Draw a tree diagram for the situation

Exercise 12 Question What is the probability that a book chose at random is a book that is worn and needs to be replaced?

Exercise 14 (page 314) 3/5 of kindergarteners are bussed to school 2/5 of 1 st -5 th grades are bussed to school School has grades K – 5 and 17.5% are kindergarteners. Draw a tree diagram

Exercise 14 Question What is the probability that a child chosen at random is bussed to school?