Krishna puts the letters of the word SCHOOL 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 Krishna draws an O twice?

Question

Krishna puts the letters of the word SCHOOL 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 Krishna draws an O twice?

(1 point)

1 over 18

1 over 15

1 over 36

2 over 15

Answer 1

The probability of drawing an O on the first draw is 2/6 (as there are 2 O's in the word SCHOOL and a total of 6 letters).

Since the first piece is not replaced, there is now 1 O left and 5 total letters.

Therefore, the probability of drawing an O on the second draw, given that an O was already drawn on the first draw, is 1/5.

Multiplying the probabilities of both events happening (2/6 * 1/5) gives us 2/30, which simplifies to 1/15.

Therefore, the answer is 1 over 15.