Two marbles are drawn randomly one after the other without replacement from a jar that contains 9 red marbles, 3 white marbles, and 4 yellow marbles. Find the probability of the following events. (a) A red marble is drawn first followed by a white marble. The probability is : (b) A white marble is drawn first followed by a white marble. The probability is : (c) A yellow marble is not drawn at all. The probability is :Two fair dice are tossed, and the up face on each die is recorded. Find the probability of observing each of the following events: A : { A 3 appears on at least one of the dice } B : { The sum of the numbers is equal to 11 } C : { The difference of the numbers is 3} P(A) = P(B) = P(C) =An instructor gives his class a set of 15 problems with the information that the next quiz will consist of a random selection of 6 of them. If a student has figured out how to do 12 of the problems, what is the probability the he or she will answer correctly (a) all 6 problems? (b) at least 5 problems