(30 pt.) A red and a blue die are thrown. Both dice are fair (that is,...
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(30 pt.) A red and a blue die are thrown. Both dice are fair (that is, all sides are equally likely). The events A, B, and C are defined as follows: A: The sum of the numbers on the two dice is at most 3. B: The sum of the numbers on the two dice is odd. C: The number on the red die is 3. a. (10 pt.) Calculate the probability of each individual event; that is, calculate p(A), p(B), and p(C). b. (5 pt.) What is P(A|B)? c. (5 pt.) What is p(B|C)? d. (5 pt.) What is P(A|C)? e. (5 pt.) Consider all pairs of events: A and B, B and C, and A and C. Which pairs of events are independent? (30 pt.) A red and a blue die are thrown. Both dice are fair (that is, all sides are equally likely). The events A, B, and C are defined as follows: A: The sum of the numbers on the two dice is at most 3. B: The sum of the numbers on the two dice is odd. C: The number on the red die is 3. a. (10 pt.) Calculate the probability of each individual event; that is, calculate p(A), p(B), and p(C). b. (5 pt.) What is P(A|B)? c. (5 pt.) What is p(B|C)? d. (5 pt.) What is P(A|C)? e. (5 pt.) Consider all pairs of events: A and B, B and C, and A and C. Which pairs of events are independent?
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Answer rating: 100% (QA)
The possible outcomes where the sum of the numbers on the two dice is at most 3 are 1 1 1 2 and 2 1 There are a total of 36 possible outcomes when thr... View the full answer
Related Book For
John E Freunds Mathematical Statistics With Applications
ISBN: 9780134995373
8th Edition
Authors: Irwin Miller, Marylees Miller
Posted Date:
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