Problem 3 2.0 points possible (graded, results hidden) In a health examination of the 94 faculties at Brac University, the numbers of faculty with blood type A and Bwere 31 and 34, respectively, and the remaining employees have blood type O. Two faculties were diagnosed with dengue and they require blood bags to survive. One of them had the blood type O and the other had the type A Other faculties can be selected uniformly from the rest of the lot to donate blood for their colleagues. [Remember that O blood group can donate blood to any other blood type which is not the case for the other two types.] i. What is the probability that the faculty with blood type A will receive one bag of blood from rest of the faculties (that don't require blood themselves)? [Give your answer upto 4 decimal places] ii. If both of the faculties were to receive a blood bag, what is the probability that the rest of the faculties would be able to donate blood? [Give your answer upto 4 decimal places]