To find the probability that Jack draws an I twice, we must calculate the probability of drawing an I on the first draw and then an I on the second draw.
The probability of drawing an I on the first draw is 3/8 (there are 3 I's out of a total of 8 letters).
After the first piece is drawn and not replaced, there are only 7 pieces left in the bag, and 2 I's among them.
Therefore, the probability of drawing an I on the second draw, given that an I was drawn on the first draw, is 2/7.
Multiplying the probabilities of the two events:
(3/8) * (2/7) = 6/56 = 3/28
Therefore, the probability that Jack draws an I twice is 3/28.
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) Responses
1/28
1/32
3/28
11/28
1 answer