Khalid uses Penelope’s bag of letter tiles to create a different game in which he tries to randomly draw a set of five tiles with consecutive letters. If Khalid plans to draw five tiles from the bag, without looking and without replacing any tiles, what is the probability that Khalid will draw five tiles in order alphabetically and containing letters that appear consecutively in the alphabet? Express your answer as a common fraction.

i might have to say 15

26*25*24*23*22=7893600

26*1*1*1*1=26

26/7893600

To find the probability of drawing five tiles with consecutive letters in order alphabetically, we need to consider the total number of favorable outcomes and divide it by the total number of possible outcomes.

First, we need to determine the number of ways we can form a set of five tiles with consecutive letters. We can do this by checking the possible starting letters, as the consecutive letters will follow a specific pattern.

Since the condition states that the five tiles need to be drawn in order alphabetically, we have a limited number of choices for the starting letter. We have 22 possible starting letters, excluding the letters X, Y, and Z, as these letters do not have five consecutive letters following them.

For each starting letter, there is only one set of five consecutive letters that can follow. Therefore, there is only one favorable outcome for each starting letter.

Next, we need to find the total number of ways we can draw five tiles from the bag without replacement. There are a total of 26 letters in the alphabet, so we have 26 choices for the first tile, 25 choices for the second tile (as we have already drawn one), 24 choices for the third tile, 23 choices for the fourth tile, and 22 choices for the fifth tile.

So, the total number of possible outcomes is 26 * 25 * 24 * 23 * 22 = 7,893,600.

Since we have 22 favorable outcomes, the probability of drawing five tiles with consecutive letters in order alphabetically is:

Probability = Favorable outcomes / Total outcomes = 22 / 7,893,600

So, the probability is 22/7,893,600, which is the answer expressed as a common fraction.