You have a bag of 26 letter tiles, each tile containing a single letter from the English alphabet. You also have a two sided coin with heads on one side and tails on the other side. You select a letter tile from the bag and you flip the two sided coin. In order to win a prize, you need to select a vowel (A, E, I, O, U) from the letter tiles and get tails on the coin. What is the possibility of you winning the prize? Be sure to show your work.