A committee of three people is selected at random from a set consisting of five teachers, seven 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 has no teachers?

Asays "we are both knaves" and b says nothing. exercises 24–31 relate to inhabitants of an island on which there are three kinds of people: knights who always tell the truth, knaves who always lie, and spies (called normals by smullyan [sm78]) who can either lie or tell the truth. you encounter three people, a, b, and c. you know one of these people is a knight, one is a knave, and one is a spy. each of the three people knows the type of person each of other two is. for each of these situations, if possible, determine whether there is a unique solution and determine who the knave, knight, and spy are. when there is no unique solution, list all possible solutions or state that there are no solutions. 24. a says "c is the knave," b says, "a is the knight," and c says "i am the spy."

F(x)=5/6x+3 which of the following is true

The legs of a right triangle measure 6 meters and 8 meters. what is the length of the hypotonuse.