"' \\_ E'"""\"/ (a) An urn contains four red balls, ve orange balls, and eight yellow balls. A ball is drawn from the urn without looking. Determine the probability that this ball is orange. (b) The letters in the word PALINDROME are rearranged at random to form a new sequence of letters. Determine the probability that the vowels (A, E, I, and O) are all together, side by side. (c) An airport limousine has four passengers and stops at six different hotels. What is the probability that two or more people will be staying at the same hotel, assuming that each person is equally likely to stay in each hotel