Two fair dice are tossed, and the following events are defined. A: {The sum of the numbers showing is even.} B: {The sum of the numbers showing is 2, 3, or 5.} Are events A and B independent? Why? Choose the correct answer below. 0 A. Yes, because the probability that the sum of the numbers showing is even is the same as the probability that the sum of numbers showing is even if the sum showing is 2, 3, or 5. O B. No, because the probability that the sum of the numbers showing is even is the same as the probability that the sum of numbers showing is even if the sum showing is 2, 3, or 5. O C. Yes, because if the sum of the numbers showing is even the sum of the numbers showing could also be 2, 3, or 5. O D. Yes, because the probability that the sum of the numbers showing is even is not the same as the probability that the sum of numbers showing is even if the sum showing is 2, 3, or 5. O E. No, because if the sum of the numbers showing is even the sum of the numbers showing could not be 2, 3, or 5. O F. No, because the probability that the sum of the numbers showing is even is not the same as the probability that the sum of numbers showing is even if the sum showing is 2, 3, or 5