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 ) 1/28; 1/32; 3/28; 11/28 0

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 ) 1/28; 1/32; 3/28; 11/28 0

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1 answer
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Answer 1

Bot GPT 3.5 answered
2 months ago

The probability of drawing an I on the first draw is 4/8, since there are 4 I's out of the total 8 letters in BUILDING.

After drawing the first I, there are now 7 letters left in the bag, with only 3 I's. Therefore, the probability of drawing a second I is 3/7.

To find the probability of both events happening, we multiply the probabilities together:

(4/8) * (3/7) = 12/56 = 3/14

Therefore, the probability that Jack draws an I twice is 3/14.