Question Answered step-by-step Suppose there are three rooms of individuals as follows: In Room 1…Suppose there are three rooms of individuals as follows: In Room 1 there are 5 math majors and 6 engineering majors; in Room 2 there are 4 math majors and 2 engineering majors, and in Room 3 there are 6 math majors and 3 engineering majors. Assume you randomly choose a room, each with probability 1/3, and then choose 3 persons, again with all choices occurring with equal probability. Suppose your selection consists of 3 engineering majors and no math majors.a. What is the probability that your selection came from Room 1? b. What is the probability that your selectioncame from Room 2? c. What is the probability that your selection came from Room 3? Please leave youranswers in the above questions in terms of binomial coef— ?cients. DO NOT CARRY OUT THE P… Show more… Show moreMath MATH 37500