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Probability theory question
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[QUOTE="Ray Vickson, post: 4953570, member: 330118"] Since there are 5 slots and 6 chosen courses, the event E = {at least one course each day} must have one day with two courses and four days with one course each. The first course is chosen at random. What is the probability that the second chosen course is on the same day as the first? What is the probability it is on a different day? What is the probability the third chosen course is on the same day as one of the first two (if possible)? What is the probability it is on a different day from the first two? Keep going like that. The main issue is to keep track of the "overlaps". I think the main problem with your method is that she does not choose "days", but courses. When she chooses a course, its day is pre-determined and so is not under her control. [/QUOTE]
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