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?

Question

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?

(1 point)

Answer 1

The probability of drawing an I on the first draw is 2 out of the total 8 letters in BUILDING, so 2/8 = 1/4.

After drawing an I on the first draw, there are now 7 letters in the bag, with only 1 I. So the probability of drawing an I on the second draw is 1 out of 7, or 1/7.
Therefore, the probability of drawing an I twice is:
(1/4) * (1/7) = 1/28

So, the probability that Jack draws an I twice is 1/28.