Question: Four finalists for the title of Outstanding MATH1064 Student of Semester 2 are to be interviewed …
Show transcribed image text Four finalists for the title of Outstanding MATH1064 Student of Semester 2 are to be interviewed for 30 minutes each. Each finalist is interviewed for 15 minutes by Jacqui and for 15 minutes by Oded. Jacqui and Oded are in separate rooms, and all interviews are between 10:00 and 11:00 on a Friday morning during the usual MATH1064 lecture time a) In how many ways can the interviews be scheduled during the one-hour period? b) One finalist, named Henry, arrives at 10:00. What is the probability that he will have his two interviews one after another? (c) Regina, another finalist, arrives at 10:00 and hopes to finish in time to leave by 10:50 for another appointment. What is the probability that Regina will be able to leave on time?
Four finalists for the title of Outstanding MATH1064 Student of Semester 2 are to be interviewed for 30 minutes each. Each finalist is interviewed for 15 minutes by Jacqui and for 15 minutes by Oded. Jacqui and Oded are in separate rooms, and all interviews are between 10:00 and 11:00 on a Friday morning during the usual MATH1064 lecture time a) In how many ways can the interviews be scheduled during the one-hour period? b) One finalist, named Henry, arrives at 10:00. What is the probability that he will have his two interviews one after another? (c) Regina, another finalist, arrives at 10:00 and hopes to finish in time to leave by 10:50 for another appointment. What is the probability that Regina will be able to leave on time?
