Consider the experiment of rolling two dice and adding the numbers obtained to get total score. (a) Calculate the possible values which this total will take and their corresponding probabilities. (b) What is the probability of obtaining a score of at least 3? In a group of 850 first and second year university students, 500 of them take medicine d 350 study engineering. Four hundred of the medical students are in first year d the remaining 100 in second year, while 300 of the engineers are in first year d 50 in second year. Summarize this information in a table, assuming no one can simultaneously be medical and engineering student. A student is selected at random from the group. efine: M to be the event 'the student takes medicine'; E to be the event 'the student is in engineering'; F to be the event 'the student is in first year'; S to be the event 'the student is in second year'. Find P (M | F ), P (F M ), P (E S), P (F ), P (S), P (En S)