A bag has 1 green marble, 1 red marble and 1 blue marble in it. Two situations are to be considered. In the first situation 1 draw out two marbles from the bag one at a time Without Replacement. In the second situation, 1 draw out two marbles from the bag one at at time With Replacement.
a. Write out the sample spaces, the sets of possibilities for each of these situations, when the order in which the marbles are drawn makes a difference and assign probabilities to each element in each of these sample spaces.
b. Let A be the event that the first marble drawn is green. Let B be the event that the second marble drawn is green. Compute the probabilities of A and B in each situation, using your answer to part a.
c. Are A and B Mutually Exclusive events in the first situation? Explain your answer and be sure in your answer to define Independent Events.
d. Are A and B Independent Events in second situation? Explain your answer and be sure in your answer to define, Independent Events.
