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- Example 1.5 "Consider the function f(x) = x^2 as a function from the integers (Z = {-3, -2, -1, 0, 1, 2, 3}) to the integers." There should be ellipses before -3 and after 3 to show that the function can take on more values. With the correction it should read: (Z = {...-3, -2, -1, 0, 1, 2, 3...})
- PAGE vi (The Preface). In the final paragraph the beginning of the 5th sentence reads, "By reading the lesson, the you will acquire..." The "the" preceding "you" should be eliminated.

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- When A is split into A1 and A2. The notation for A2 is incorrect because j should not be included since the handshake is only between Alice and the initiator. It should read A2={(pi,a): 1<=i<=99}.
- Towards the lower middle of the page that begins #(O)=98+97+96...2+1 shouldn't it be #(O)=99+98+97+96..2+1? The 99 was left out.
- In the first paragraph, in the sentence beginning "A handshake between Person i..." the word "can" is repeated twice in a row, where it should only be there once.
- Towards the lower end of the page where A is split into A1 and A2. A1={(a,pi):1<=i, j<=99}. The j shouldn't be part of the notation because the handshake is only between Alice and the initiator.

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- In Exercise 3.7, it states "your job is to paint bookcases...or to leave the bookcase unpainted." "Bookcase" should be changed to "bookcases," because otherwise it makes it seem that only one of the eight bookcases can be unpainted.
- This is a small typo in exercise 3.6. The first and second to last sentence refer to drug types as "drugs types" with an unneeded added s after drug.
- This is really minor, but the last sentence of Exercise 3.11 is a question, so it should end in a question mark and not a period. Only to keep consistency with the other exercises in chapter 3, in which all questions end with question marks.
- I am reposting here, because I realized that I accidentally posted on another page. For Exercise 3.7, it says "Your job is to paint bookcases one of three different colors or to leave the bookcase unpainted. You have eight different bookcases and all of the book cases have a different height. In how many ways can you do your job?" The first error (a barely noticeable one) is the space between "book" and "cases." The second is not really an error, but rather something I found to be superfluous. Because the question doesn't really concern the height of the bookcases, mentioning that the bookcases have a different height isn't really necessary. I believe the issue of height was more important in Exercise 3.9.
- There are 2 minor typos in the second to last sentence in exercise 3.9. There should be a "the" in front of "shortest three book cases..." Also, "book cases" should be combined and written as "bookcases." The sentence should then read "If the tallest bookcase is red, then the shortest three bookcases must be painted the same color..."

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- I'm not sure if there may be two different ways to spell lily pad(s), but I just thought I should point this out. "Lily pad(s)" is spelled with three "l" every time it is mentioned on this page, but according to the Merriam-Webster online Dictionary, it should be spelled "lily pad(s)" not "lilly pad(s)." Lily pad(s) are mentioned in 4.5, 4.7, and 4.9.
- This isn't very significant, but exercise 4.4 says "How many way" instead of "How many ways."
- This is another minor error, but exercise 4.9 says "How many ways can a from" instead of "How many ways can a frog."
- Minor typo, for exercise 4.4 part ii which reads "seven coats can be returned to six if each person.." the word "people" left out after six.
- punctuation mistake: 4.14 on (i), there should be a semicolon in between "twice" and "however" and a comma in between "however" and "the flea" since "however" is connecting two independent clauses.

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- In example 5.3: C is defined as a set in correspondence with the set of ALL words that can be made using exactly one time all the letters in the word MISSISSIPPI. Omega is defined as a set in correspondence with the set of words that can be made from using exactly one time all the letters in the word MISSISSIPPI. Both sets are the same and should both be labelled with the same letter. (C should be an Omega since C does not show up later in the example but Omega does)
- On the second paragraph under Example 5.3, two of the sets are written {i,I, ,underlined i,underlined I}--the set for "s" is written the same, with an extra space and comma. (I accidentally posted this under "Real Analysis" the first time so you can delete/ignore that.)
- In the example 5.3 It asks to find the coefficient of xy^2z^2w^3 but there is no w in the original equation

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- Small typo, there's a missing multiplication sign in between 2! And 1! at the top of the page
- small typo: "consistency" with an "e" instead of "consistancy" with an "a" at the top of the page.
- It is a small error, but under the Inhomogeneous Disordering section it says, "in the give word" instead of "in the given word."

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- After "continue in this way to get that" shouldn't p (k) be 6×(k 3) not 6×(n 3)
- To be corrected on example problem 6.4: 1. After the line "Continue in this way to get that..." all the letters of p(k) should be "k" not "n". This continues through the sigma notation where 7 "n"s should all be "k"s 2. The final answer should have all 4 "n"s be "n+1"

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- For example 7.1, the problem says that there are triples. However, in the explanation they are referred to as twins on two occasions. In lines 5 and 6.
- In the example given about ordering grey and black balls, it starts by saying that there are three black balls on page 59 and four grey balls on page 60 but then in Figure 7.2 there are four black and three grey balls.

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- Question 11.2, letter b. There should be a period ending the sentence after the phrase "drawn again". Then "What is the probability..." should be its own sentence.
- In the description for Exercise 11.3, in the sentence beginning "Otherwise," the phrase "of the" is repeated twice in a row.
- Exercise 11.9 The words "envelope" and "envelopes" in the first two sentences are missing the "e" at the end.

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- On exercise 12.5, it is confusing whether or not you should add the two numbers that are rolled. Maybe rephrase the questioning?
- On Exercise 12.5, the first sentence reads "Suppose have two 12 sided dice". I believe the sentence should read, "Suppose you have a two sided dice".
- On exercise 12.5 on the second sentence: "You roll two dice", I believe "the" should be added after "roll", to refer to the dice stated on the previous sentence.

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- In the paragraph above part 2, you said we will revisit this example in Example ??. What is the example that you are referring to?
- I don't know if this was on purpose, but at the end of the upper section (near the middle of the page before 2. Applications to Basic Problems), it says, "We will revisit this example in Example ??..." Did you mean to put a specific example in there?

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- Under Example 13.4, it states: "If you roll a 1 or 2, you pick from Bag 1. If you roll a 3, you pick from Bag 1. If you roll a 4, 5, or 6, you pick from Bag 3." It lists picking from Bag 1 twice. Since examples and exercises usually list picking from bags in numerical order, I would assume the "If you roll a 3, you pick from Bag 1" should be "If you roll a 3, you pick from Bag 2" instead.
- Though it does not have a tremendous influence on the problem itself, in Example 13.4, it says "If you roll a 1 or 2, you pick from Bag 1. If you roll a 3, you pick from Bag 1. If you roll a 4,5, or 6 you pick from Bag 3." I believe the second "Bag 1" should be Bag 2 because otherwise the information of Bag 2 provided earlier is irrelevant.

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- In exercise 14.4, the question does not specify the amount of slots in the revolver. The problem states that there are 2 bullets not spaced evenly, but not the number of possible spaces for the bullets in the gun.
- I think there may be an error for the answer to question 14.3 in the back of the book. When calculating the probability of reaching in Bag 3 and choosing a green ball, it should be (1/6)(5/6) instead of (1/6)(7/6) since there is one red ball and five green balls to choose from in Bag 3.

#### 139

- Under the part that reads "by the law of total probability... " The three P(G) in the formula should be replaced by P(A), P(B), P(C).
- In Example 16.3, the fourth sentence says "Bag C has five red balls and one green balls." The word "balls" should be singular.
- The formula under figure 16.2 should be P(A intersect G)= P(GlA) P(A). Because A is there event given, not G. The answer is still correct.

#### 140

- The question ask for the probability of rolling a one or two but the answer only shows the probability of P(Al R^c) this should be added to the probability of rolling a two and not picking a red ball
- On the tree diagram, the probability of getting event B should be 1/2 given that a 2,3, or 4 is rolled. The probability of getting a C should be 1/3 because a 5 or 6 can be rolled. The same error is located on the tree diagram on the following page. The work, however, is still correct.

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- Under example 17.2, it is stated that the 45 year old woman tests positive for HSV-2. However, in the tree diagram, the branch that suggests a false negative is boldened instead of the branch that suggests that she tests positive and has the disease.
- On the very last paragraph of the page, 2nd line, the first word says "that" instead of "than."
- For example 17.2, the second question asks about a 45 year old woman. In the chart, it says .323 for a female in the age group 40-49. Yet on page 146, it is said that P(D) = .371. .371 actually applies to a female who has had 10 or more lifetime partners.
- Starting from the bottom half of the page, it talks about P(H) and P(H^c), but mixes up letters/data as it says P(D^c)=.992 instead of P(H^c)=.992. After that, when it says "We therefore have (Figure 27.9) that..." I believe the D's should be replaced with H's to represent the probability for males.

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- In example 17.3, the question deals with Disease X and Disease H. But in the explanation of the problem, it is changed to Disease D and Disease H.
- Under example 17.3, it says that Alice is worried that she may have disease H, but then the next sentence says that she is sure she doesn't have disease H. I think it should be reversed: Alice is sure she doesn't have disease X and Bob is sure he doesn't have disease H.

#### 150

- In the first paragraph, it states: "has the disease is quite small, less that one in a hundred." The typo "that" should be changed to "than."
- In the paragraph under "4 RELATIVE RISK," it states: "In contrast with prevalence, incidence does not count the number of cases rather the number of new cases." A "but" should be placed before "rather" in order to more clearly differentiate between what incidence does and does not count.

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- Exercise 17.11 In part (c): "What is the probability that an individual who test(s) positive first will test positive second?" The first use of "test" needs an "s."
- Exercise 17.11 The sentence before part (a) of the question is a repeat of (a). It says "If an individual tests positive on both, what is the probability that the individual has the disease." Part (a) says "What is the probability that an individual who tests positive twice for Disease C has the disease?"
- In exercise 17.11, "wether" should be changed to "whether" in the sentence "The false positive and false negative rates depend only on wether or not an individual has the disease."

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- The answers to 11.7 and 11.8 are out of order. Right now it goes 11.5, 11.8, 11.7.
- For the answer to 11.7 it says "...we don't consider a straight flush as begin necessarily better..." It should say "being" instead of "begin."
- The answer for 11.8 comes before the answer for 11.7. The two should be switched to maintain a consecutive order.