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1-5.5 If A and B are subsets in he same space S, find a) (AB) (BA) PROBLEMS 43 b) (A-B) B c) (AB) U (ANB) (a, b, c, d, e, f) has two subsets defined as A = (a, c, e) and B = 1-5.6 A space S = {c, d, e, f). Find a) AUB d) Ān B b) A B e) AПB c) (A-B) f) (B-A) UA 1-6.1 For the space and subspaces defined in Problem 1-5.2, assume that each element has a probability of 1/6. Find the following probabilities. a) Pr(A) b) Pr(B) d) Pr (AUB) e) Pr(AUC) c) Pr(C) f) Pr[(A - C) UB] 1-6.2 A card is drawn at random from a standard deck of 52 cards. Let A be the event that a king is drawn, B the event that a spade is drawn, and C the event that a ten of spades is drawn. Describe each of the events listed below and calculate its probability. a) AUB b) AПB d) AUC e) BUC c) AUB f) Anc g) BOC h) (ANB) UC i) AN BOC 1-6.3 An experiment consists of randomly drawing three cards in succession from a standard deck of 52 cards. Let A be the event of a king on the first draw, B the event of a king on the second draw, and C the event of a king on the third draw. Describe each of the events listed below and calculate its probability. a) An B b) AUB c) AUB d) An BnC e) (ANB) U (BNC) f) AUBUC 1-6.4 Prove that Pr(AUB) = 1-Pr(ANB).

1-5.5 If A and B are subsets in he same space S, find a) (AB) (BA) PROBLEMS 43 b) (A-B) B c) (AB) U (ANB) (a, b, c, d, e, f) has two subsets defined as A = (a, c, e) and B = 1-5.6 A space S = {c, d, e, f). Find a) AUB d) Ān B b) A B e) AПB c) (A-B) f) (B-A) UA 1-6.1 For the space and subspaces defined in Problem 1-5.2, assume that each element has a probability of 1/6. Find the following probabilities. a) Pr(A) b) Pr(B) d) Pr (AUB) e) Pr(AUC) c) Pr(C) f) Pr[(A - C) UB] 1-6.2 A card is drawn at random from a standard deck of 52 cards. Let A be the event that a king is drawn, B the event that a spade is drawn, and C the event that a ten of spades is drawn. Describe each of the events listed below and calculate its probability. a) AUB b) AПB d) AUC e) BUC c) AUB f) Anc g) BOC h) (ANB) UC i) AN BOC 1-6.3 An experiment consists of randomly drawing three cards in succession from a standard deck of 52 cards. Let A be the event of a king on the first draw, B the event of a king on the second draw, and C the event of a king on the third draw. Describe each of the events listed below and calculate its probability. a) An B b) AUB c) AUB d) An BnC e) (ANB) U (BNC) f) AUBUC 1-6.4 Prove that Pr(AUB) = 1-Pr(ANB).

A First Course in Probability (10th Edition)
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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1-5.5 If A and B are subsets in he same space S, find a) (AB) (BA) PROBLEMS 43 b) (A-B) B c) (AB) U (ANB) (a, b, c, d, e, f) has two subsets defined as A = (a, c, e) and B = 1-5.6 A space S = {c, d, e, f). Find a) AUB d) Ān B b) A B e) AПB c) (A-B) f) (B-A) UA 1-6.1 For the space and subspaces defined in Problem 1-5.2, assume that each element has a probability of 1/6. Find the following probabilities. a) Pr(A) b) Pr(B) d) Pr (AUB) e) Pr(AUC) c) Pr(C) f) Pr[(A - C) UB] 1-6.2 A card is drawn at random from a standard deck of 52 cards. Let A be the event that a king is drawn, B the event that a spade is drawn, and C the event that a ten of spades is drawn. Describe each of the events listed below and calculate its probability. a) AUB b) AПB d) AUC e) BUC c) AUB f) Anc g) BOC h) (ANB) UC i) AN BOC 1-6.3 An experiment consists of randomly drawing three cards in succession from a standard deck of 52 cards. Let A be the event of a king on the first draw, B the event of a king on the second draw, and C the event of a king on the third draw. Describe each of the events listed below and calculate its probability. a) An B b) AUB c) AUB d) An BnC e) (ANB) U (BNC) f) AUBUC 1-6.4 Prove that Pr(AUB) = 1-Pr(ANB).
Transcribed Image Text:1-5.5 If A and B are subsets in he same space S, find a) (AB) (BA) PROBLEMS 43 b) (A-B) B c) (AB) U (ANB) (a, b, c, d, e, f) has two subsets defined as A = (a, c, e) and B = 1-5.6 A space S = {c, d, e, f). Find a) AUB d) Ān B b) A B e) AПB c) (A-B) f) (B-A) UA 1-6.1 For the space and subspaces defined in Problem 1-5.2, assume that each element has a probability of 1/6. Find the following probabilities. a) Pr(A) b) Pr(B) d) Pr (AUB) e) Pr(AUC) c) Pr(C) f) Pr[(A - C) UB] 1-6.2 A card is drawn at random from a standard deck of 52 cards. Let A be the event that a king is drawn, B the event that a spade is drawn, and C the event that a ten of spades is drawn. Describe each of the events listed below and calculate its probability. a) AUB b) AПB d) AUC e) BUC c) AUB f) Anc g) BOC h) (ANB) UC i) AN BOC 1-6.3 An experiment consists of randomly drawing three cards in succession from a standard deck of 52 cards. Let A be the event of a king on the first draw, B the event of a king on the second draw, and C the event of a king on the third draw. Describe each of the events listed below and calculate its probability. a) An B b) AUB c) AUB d) An BnC e) (ANB) U (BNC) f) AUBUC 1-6.4 Prove that Pr(AUB) = 1-Pr(ANB).
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