Write each of these propositions in the form "p if and a) for you to get an a in this course, it is necessary and it. only if q" in english. sufficient that you learn how to solve discrete mathe- b) if you read the newspaper every day, you will be in- c) it rains if it is a weekend day, and it is a weekend day d) you can see the wizard only if the wizard is not in

The probability that a u.s. resident has traveled to canada is 0.18 and to mexico is 0.09. a. if traveling to canada and traveling to mexico are independent events, what is the probability that a randomly-selected person has traveled to both? (page 109 in the book may ) b. it turns out that only 4% of u.s. residents have traveled to both countries. comparing this with your answer to part a, are the events independent? explain why or why not. (page 119 may ) c. using the %’s given, make a venn diagram to display this information. (don’t use your answer to part a.) d. using the conditional probability formula (page 114 in the book) and the %’s given, find the probability that a randomly-selected person has traveled to canada, if we know they have traveled to mexico.