Question

We draw two cards from a deck of shuffled cards without replacement. Find the probability of getting the second card a queen.

• A. $\frac{1}{13}$
• B. $\frac{2}{13}$
• C. $\frac{5}{13}$
• D. None of these

Answer 1

Answer: (A)

$\frac{1}{13}$

There are two cases here:

Case 1: First card chosen is a queen

$\frac{4}{52}\times \frac{3}{51}=\frac{1}{221}$

Case 2: First card chosen is not a queen.

$\frac{48}{52}\times \frac{4}{51}=\frac{16}{221}$

Adding both the cases, we get the probability of getting the second card a queen. $\frac{17}{221}=\frac{4}{52}=\frac{1}{13}$