Die A is numbered 1, 2, 3, 4, 5, 6, and Die B is numbered 2, 2, 4, 4, 6, 6. Both dice are fair. A random experiment is performed in which a fair coin is flipped. If it comes up Heads, Die A is rolled. If it comes up Tails, Die B is rolled. To make sure that all outcomes are equally probable, I assumed that the numbers on the dice were counted as different outcomes. For instance, T21 would mean that the coin came up Tails, and one of the 2's on the Die B came up. But, T22 would mean that the coin came up Tails, and the other of the 2's on the Die B came up.
1. Calculate the probability that a 3 is rolled.
2. Calculate the probability that a 2 is rolled.