the grams of sugar per serving for three brands of cereal are 4g,8g, and 16g. the probability of choosing a cereal with 4 grams of sugar is 1/4. the probability of choosing a cereal with 8 grams of sugar is 5/8. the probability of choosing a cereal with 16 grams of sugar is 1/8.
what is the expected value of the number of grams of the sugar in cereal?
a 6
b 7
c 8
d 9

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."