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. Part A: What is the probability of selecting a vowel (A, E, I, O, U) from the bag of tiles?

Part B: 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 from the letter tiles and get tails on the coin. What is the probability of you winning the prize? Be sure to show your work.

Part C: What is the probability of you selecting a vowel (A, E, I, O, U), and then, without returning it, selecting a consonant? Explain the steps to calculating this probability.