Question

From a pack of 52 playing cards, three cards are drawn at random. Find the probability of drawing a king, a queen and jack.

• A. $\frac{16}{5525}$
• B. $\frac{1}{{13}^3}$
• C. $\frac{1}{{14}^3}$
• D. $\frac{1}{{15}^3}$

Answer 1

The correct option is A $\frac{16}{5525}$

$P=\frac{{}^4{C}_1{\times }^4{C}_1{\times }^4{C}_1}{{}^{52}{C}_3}=\frac{64}{22100}=\frac{16}{5525}$