Problem 2. (4 points) An urn contains four balls numbered 1, 2, 3, and 4. In...

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Problem 2. (4 points) An urn contains four balls numbered 1, 2, 3, and 4. In an experiment, you draw two balls with replacement from this urn, recording the number on each ball ("with replacement" means that you draw one ball, put it back, and then draw another ball). The following three events are defined: A: the sum of the two numbers is equal to 7 B: the sum of the two numbers is at most 5 C: the sum of the two numbers is odd Use this information to answer the following questions. a. Find P(ANC). Answer: Round to at least FOUR digits after the decimal if necessary. b. Find P(BUC). Answer: Round to at least FOUR digits after the decimal if necessary. c. Find P(AU (BNC)). Answer: Round to at least FOUR digits after the decimal if necessary. d. Are events A and C independent? A. No. B. Yes. Problem 2. (4 points) An urn contains four balls numbered 1, 2, 3, and 4. In an experiment, you draw two balls with replacement from this urn, recording the number on each ball ("with replacement" means that you draw one ball, put it back, and then draw another ball). The following three events are defined: A: the sum of the two numbers is equal to 7 B: the sum of the two numbers is at most 5 C: the sum of the two numbers is odd Use this information to answer the following questions. a. Find P(ANC). Answer: Round to at least FOUR digits after the decimal if necessary. b. Find P(BUC). Answer: Round to at least FOUR digits after the decimal if necessary. c. Find P(AU (BNC)). Answer: Round to at least FOUR digits after the decimal if necessary. d. Are events A and C independent? A. No. B. Yes.