The letters of the alphabet are written on cards and placed in a brown paper bag. What is the probability of drawing a vowel, replacing it, and then drawing another vowel?

Did you know that there are 5 vowels in the English alphabet (A, E, I, O, U) out of a total of 26 letters? This means the probability of drawing a vowel on your first try is 5 out of 26, or 5/26. Since you’re replacing the letter, the chances remain the same for the second draw as well, resulting in the combined probability of (5/26) * (5/26), which simplifies to 25/676! When it comes to such probability problems, a common mistake is forgetting to replace the item drawn, which would change the odds completely! If you don't replace the first vowel, then the total number of letters and vowels would change for the second draw. Always remember to clarify whether replacement is involved!