Let C and D be events such that Pr[C]=0.45, Pr[D]=0.44, and Pr[CD]=0.66 . Evaluate: Pr[C|D] ____________ Pr[D|C] ____________ Let E and F be events such that Pr[E]=0.46 , Pr[F]=0.49 , and Pr[EF]=0.2 . Evaluate: Pr(EF) __________ __ Pr(FE ____________ ) Question 3 A pair of fair dice is rolled and the sum of the numbers is noted. Determine the probability that one die resulted in a 5 given that the sum is 8. Question 4 There are 6 women and 5 men on a committee. A subcommittee of three people is selected at random. What is the probability that all three people selected are women, given that all three selected are the same gender? Question 5 A test for colorblindness was conducted on 1,116 students in a high school. The results based on genders are shown in the following table Not Colorblind Colorblind Females 549 8 Males 535 24 What is the probability that a person selected at random is colorblind? ____________ What is the probability that a person selected at random is male and colorblind? ____________ What is the probability that a person selected is male given that the person is colorblind? ____________ Question 6 The probability of a snowstorm on Thanksgiving is 0.11 and the probability of a snowstorm on Christmas is 0.66 . Assuming that these two events are independent: What is the probability of snowstorms on both ____________ Thanksgiving and Christmas? What is the probability of a snowstorm on either Thanksgiving or Christmas (or both)? ____________ What is the probability of a snowstorm on Thanksgiving but not on Christmas? ____________ Question 7 Given Pr[E]=0.28 and Pr(EF)=0.71, determine Pr[F] If E and F are disjoint ____________ events. If E and F are independent events. ____________ Question 8 Given the following tree diagram, determine Pr[C] Question 9 An unfair coin with Pr[H]=0.22 is flipped. If the flip results in heads, a student is selected at random from a class of 8 boys and 7 girls. Otherwise, a student from a different class containing 15 boys and 8 girls is selected. What is the probability of selecting a girl ____________ What is the probability of selecting a girl, given that the flip resulted in heads? ____________