Problem 4. (2 points) You have a fair four-sided die (with sides numbered 1, 2, 3, and 4) and a spinner that has equal chances of landing on one of the following numbers: 1, 2, 3, or 4. In an experiment, you roll the die once and spin the spinner once, recording the number on the die and the number on the spinner (note: the order in which the numbers are recorded does not matter). Use this information to answer the following questions. a. What is the probability that the sum of the two numbers is at most 6? Answer: Round to at least FOUR digits after the decimal if necessary. b. Let A be the event that the sum of the two numbers is even and let B be the event that the product of the two numbers is even. Are events A and B independent? O A. Yes, since P(A) P(B) + P(An B) O B. No, since P(A) P(B) = P(An B) O C. No, since P(A) P(B) # P(An B) O D. Yes, since P(A) P(B) = P(An B) Entered Answer Preview PREVIEW ONLY -- ANSWERS NOT RECORDED 16 C Mostly cloudy W T