Suppose a jar contains five red candies, three yellow candies, and two green candies.  If two candies are pulled out, list all the events in the sample space. Does it matter if they are pulled out at the same time or one at a time? Let the event A be that at least one of the two candies pulled out is red. Let the event B be that the second candy is green. Let the event C be that both candies are yellow. What are the events AÈB, AÈC, BÈC, AÇB, AÇC, and BÇC?

A class with n kids lines up for recess. The order in which the kids line up is random with each ordering being equally likely. There are three kids in the class named John, Betty, and Mary. The use of the word “or” in the description of the events, should be interpreted as the inclusive or. That is “A or B” means that A is true, B is true, or both A and B are true.Give an expression for each of the probabilities below as a function of n. Simplify your final expression as much as possible so that your answer does not include any expressions of the form (a over b).(a) What is the probability that Betty is first in line or Mary is last in line?(b) Explain the method used to calculate probability.

Assume that a flower bed contains 40 flowers. Suppose that 8 of the flowers are white, 8 of the flowers are pink, 8 are yellow, 8 are orange, and 8 are green. Suppose that 10 flowers are randomly selected, without replacement. What is the probability that exactly 2 of the flowers are yellow, exactly 4 of the flowers are another common color and exactly 4 of the flowers are a third common color?

A jar of 150 jelly beans contains 20 red jelly beans, 38 yellow, 28 green, 26 purple, 24 blue, and the rest are orange. Let B = the event of getting a blue jelly bean. Let G = the event of getting a green jelly bean. Let O = the event of getting an orange jelly bean. Let P = the event of getting a purple jelly bean. Let R = the event of getting a red jelly bean. Let Y = the event of getting a yellow jelly bean. Find P(Y). (Enter your probability as a fraction.)