Jack puts the letters of the word BUILDING on pieces of paper and puts the pieces in a bag. He draws two letters without looking. The first piece of paper is not replaced before the second piece is drawn. What is the probability that Jack draws an I twice?
To find the probability of drawing an I twice, we first need to find the total number of possible outcomes when drawing two letters from the bag. There are 8 letters in the word BUILDING, so there are $\binom{8}{2}=28$ ways to draw two letters without replacement.
Next, we need to determine the number of ways to draw an I twice. There are 2 I's in the word BUILDING, so there is only one way to draw an I twice.
Therefore, the probability of drawing an I twice is $\frac{1}{28} = \boxed{\frac{1}{28}}$.