Six numbers are chosen at random from the whole numbers between 1 and 14, inclusive, without replacement. a) What is the probability that all the numbers are even? b) What is the probability that at least one of the numbers is odd? a) What is the probability that all the numbers are even? Pr(all even) = (Type an integer or a simplified fraction.) A law firm has seven senior and six junior partners. A committee of three partners is selected at random to represent the firm at a conference. What is the probability that at least one of the junior partners is on the committee? The probability that at least one junior partner is on the committee is (Type an integer or decimal rounded to three decimal places as needed.) Suppose that 9 female and 8 male applicants have been successfully screened for 5 positions. If the 5 positions are filled at random from the 17 finalists, what is the probability of selecting no females? The probability of selecting no females is (Type an integer or a simplified fraction.) The instructor in a writing seminar does not have time to grade the eight essays submitted by his students. He decides to use a random-number generator to assign each essay a grade from 81 through 100, inclusive. What is the probability that at least two students will receive the same grade? The probability that at least two of the eight students will receive the same grade is (Type an integer or decimal rounded four decimal places as needed.) Fred has 5 place settings consisting of a dinner plate, a salad plate, and a bowl. Each setting is a different color. If Fred randomly selects a dinner plate, a salad plate, and a bowl, what is the probability that they all have different colors? The probability is (Round to four decimal places as needed.)