Problem 2: Concrete beams can fail in flexural mode or shear mode. A structural lab has 15 failed concrete beam - 9 of which failed in flexural mode, 6 of which failed in shear mode. • How many ways are there to randomly select 6 of these beams for a thorough inspection (without worrying about the order)? (2 points) • In how many ways can a sample of 6 beams can be randomly selected, so that exactly 5 of them failed in shear mode? (2 points) • If a random sample of 6 beams is selected, determine the probability that atleast 5 of them failed in shear mode? (3 points)