1. The pro at a golf course stocks two identical sets of women's clubs, reordering at the endof each day (for delivery early the next morning) if and only if he has sold them both.Construct a tree diagram to show that if he starts on a Monday with two sets of the clubs,there are altogether eight different ways in which he can make sales on the first two daysof that week.

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Answered: 1. The pro at a golf course stocks two…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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4. A car dealership has 5 minis (M), 8 convertibles (C) and 14 sedans (S) in its inventory. Throughout this problem, assume that the unordered/ordered lists cannot include duplicates. (a) An unordered list of 20 cars is a combination of 20 cars from this car dealership where the order does not matter, that is to say that if two lists include the same 20 cars they are considered to be the same unordered lists. How many unordered lists of 20 cars can be created in which no car is displayed more than once? (b) If you create an unordered list of 20 cars completely at random (that is, any car is equally likely to be picked), what is the probability that the list includes all 8 convertibles? (c) An ordered list of 4 cars is a sequence of 4 cars from this car dealership where the cars are displayed in a specific order, that is to say that two lists including the same 4 cars in a different order are considered different ordered lists. How many ordered lists of 4 cars can be created in which no…
1. Suppose a senior is choosing classes and must select from a set of equal value classes needed for graduation There are 15 classes, all offered at different times. The student must take 5 classes to graduate. a. How many possible course schedules can the student choose? b. Suppose another student in the same major also chooses a schedule from the same 15 courses, also 5 courses, and chooses them independently of the first student (say each class is equally likely to be chosen). What is the probability that the two students choose the exact same schedule?
5. Given 20 different types of inputs to a program, in how many ways can 8 of them be selected if (a) order does not matter. (b) order matters.
A large bakery has many different products for sale. Suppose that 200 come in between 6am and 10am. Of the 200 customers 140 order donuts, 100 order cinnamon rolls, and 80 order both. Make a Venn Diagram to model the situation.
A group of 650 tourists includes 248 who have visited Germany, 115 who have visited Holland,and 319 who have visited neither Germany nor Holland. Use the Addition Principle to computehow many have visited both Germany and Holland.
3. The following example involves selecting a marble (yellow, and red) from one jar, and a cube from another jar (yellow, red, green, or blue). Draw a tree diagram using the information. Yellow (Y), red (R), Green (G) and blue (B). a. Find P(YR) b. Find P(at least one yellow) c. Find P(both being the same color)
Rework problem 13 from section 1.4 of your text, involving sales calls. Assume the sales representative calls 7 customers, and each call has 3 possible results: reaches the customer in person, there is no answer, and gets an answering machine. A phone record is a list of the results of each call. How many different phone records are possible?

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