SAT Probability

Discrete Mathematics Level 1

A hat contains tickets marked 1, 2, ..., n. A ticket is drawn from the hat, and then, without the first ticket being replaced, a second ticket is drawn from the hat. What is the probability that the first ticket drawn is the number 1 and the second ticket drawn is the number 3?

(A)   1n\ \ \frac{1}{n}

(B)   1n−1\ \ \frac{1}{n-1}

(C)   1n2−n\ \ \frac{1}{n^2 -n}

(D)   2n−1n2−n\ \ \frac{2n-1}{n^2-n}

(E)   1n2\ \ \frac{1}{n^2}

Tatiana Georgieva by Tatiana Georgieva
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