Afair coin is tossed and a die is rolled. what is the probblloy of the coin being tails and the die landing on a 2

The probility of getting a tail is 1 (tail) to 2 total possibilities which will be 1/2. The probility for rolling a "2" is 1 to a total possibility of 6 so the probability of 1/6. Since these are independent events and you want both to happen, you need to multiply the two results which will be 1/2 * 1/6 which equals 1/12.