Abin contains 63 light bulbs of which 9 are defective. if 3 light bulbs are randomly selected from the bin with replacement, find the probability that all the bulbs selected are good ones. round to the nearest thousandth if necessary.

Do 12/14 and 8/10 have the same value? explain your answer.

What is the area of triangle abc if a = 8, b = 11, and c = 15?

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."