Question 1 (cont) Marks b) A number of new and retuming students at The Col- lege were randomly selected and were asked about their preferred mode of subject delivery for next term. A summary of their responses follows: slums Determine the following probabilities and you may leave all your answers in fraction form. (\"What is the probability that a randomly selected stu- dent prefers faceto-face delivery of the subjects next term? [1] (ii) What is the probability that a randomly selected student is a returning student and prefers the online delivery of the subjects next term? [1] (iii) If a new student is randomly selected, what ls the proba- bility that this Student prefers hybrid for subject deliv- ery next term? [1] (iv) What is the probability that a randomly selected student is a returning student or prefers face-to-tace delivery of the subjects next ten'n? [1] 6) Among the IT professionals surveyed during an online to- rum, 35% of them intend to obtain a Master of Information Technology degree in the future. If two of these IT protes- sionais are selected at random, nd the probability both of them do not intend to obtain a Master of Information Technology degree in the future. [21 Question 1 room.) d Fifteen students apply for an overseas exchange scholarship program to New Zealand, but only 3 scholarships are available. How y different ways of students are possible for the 3 scholarships? [1] e. A business owner wishes to rank the top 2 locations se lected from 5 locations for a business. How many different ways can she rank them? [1] f. Wdeo games are rated according to content. Suppose 25% ofthe Video games are rated mature. If 3 Video games were randomly purchased, what is the probability that at least one was rated mature. [2]