At a college, 28% of all students are taking a math course, 22% are taking a history course, and 43% are K taking an English course. Furthermore, 15% are taking math and English, 7% are taking history and math, and 7% are taking history and English. Finally, 2% are taking courses in math, history, and English. A student is randomly chosen. Complete parts (a) through (d) below. . . . a. Find the probability that the student is taking at least one course in math, history, or English. First identify the probabilities in the Venn diagram to the right and write them in decimal form. Let event M = the event that a student is taking a math course, let event H = the event that a student is taking a history course, and let event E = the event that a student is M H taking an English course. Also, let S be the sample space. IV VI IV VI = VII E VII = VIII (Type integers or decimals. Simplify your answers.) VIII S