A committee of three people is selected at random from a set consisting of eight teachers, three parents of students, and six alumni. a. What is the probability of the event that the committee consists of all teachers? b. What is the probability of the event that the committee has no teachers? a. The probability the committee consists of all teachers is (Type an integer or a simplified fraction.) A committee of three people is selected at random from a set consisting of six teachers, eight parents of students, and three alumni. a. What is the probability of the event that the committee consists of all teachers? b. What is the probability of the event that the committee consists of all parents? c. What is the probability of the event that there will be at least 1 teacher on the committee? a. The probability the committee consists of all teachers is (Round to three decimal places as needed.) Two fair dice are rolled 5 times and the sum of the numbers that come up is recorded. Find the probability of these events. a. The sum is 7 on each of the five rolls. b. The sum is 7 exactly twice in the five rolls. a. The probability the sum is 7 on each of the five rolls is (Type an integer or a simplified fraction.)