We have a UNR URN which haves 4 RED balls, 3 BLUE balls, and 1 GREEN ball. Our experiment includes randomly drawing balls (and not replacing them) till we get the GREEN ball and then we stop. Determine the Probability of each of the following :
(A) Probability that the first two balls drawn are BLUE.
(B) Probability that we make at least 3 draws total.
(C) Probability that we make 8 draws.
(D) Given that the first draw is RED, the probability that we make exactly two draws?
(E) Given that there are two draws total, the probability that the first draw is RED.