Question

Two cards are drawn without replacement from a pack of 52 cards. Find the probability that both are kings .

Answer 1

Consider the given events
A = A king in the first draw
B = A king in the second draw

\[\text{ Now } , \]
\[P\left( A \right) = \frac{4}{52} = \frac{1}{13}\]
\[P\left( B/A \right) = \frac{3}{51} = \frac{1}{17}\]
\[ \therefore \text{ Required probability }  = P\left( A \cap B \right)\]
\[ = P\left( A \right) \times P\left( B/A \right)\]
\[ = \frac{1}{13} \times \frac{1}{17}\]
\[ = \frac{1}{221}\]