Compute the probability of event E if the odds in favor of E are 4 to 3. P(E) = (Type an integer or a fraction.)Assume that Jim, Bruce, and Valerie are three of the 25 members of the class, and that three of the class members will be chosen randomly to deliver their reports during the next class meeting. What is the probability that Jim, Bruce, and Valerie are selected in any order? The probability that Jim, Bruce, and Valerie are selected in any order is (Type an integer or decimal rounded to six decimal places as needed.)If the odds against event E are 1 to 4, what is the probability of E? The probability of event E is (Simplify your answer.)A high school class consists of 5 seniors, 10 juniors, 12 sophomores, and 5 freshmen. Exactly 2 of the juniors are male, and exactly 4 of the sophomores are female. If two students are randomly selected from this class, what is the probability that the pair consists of a female junior and a male sophomore? The probability is. (Type an integer or a simplified fraction.)A student plans to take 7 courses next term. If he selects them randomly from a list of 16 courses, 9 of which are science courses, what is the probability that all 7 courses selected will be science courses? The probability that all 7 courses selected will be science courses is. Type an integer or decimal rounded to three decimal places as needed.)If two distinct numbers are chosen randomly from the set { - 2, - 2 1 1 2 5), find the probability that they will be the slopes of two perpendicular lines. The probability is . (Type an integer or a simplified fraction.)Assume that Jim, Bruce, and Valerie are three of the 25 members of the class, and that three of the class members will be chosen randomly to deliver their reports during the next class meeting. What is the probability that Jim, Bruce, and Valerie are selected in that order? The probability that Jim, Bruce, and Valerie are selected in that order is. (Type an integer or decimal rounded to six decimal places as needed.)When a fair six-sided die is tossed on a tabletop, the bottom face cannot be seen. What is the probability that the product of the numbers on the five faces that can be seen is divisible by 6? The probability is (Type an integer or a simplified fraction.)