Question

Three cards were drawn from a pack of 52 cards. The probability that they are a king, a queen, and a jack is

• A. $\frac{16}{5525}$
• B. $\frac{64}{2197}$
• C. $\frac{3}{13}$
• D. $\frac{8}{16575}$

Answer 1

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

No. of ways of drawing a king, a
Queen and a jack = 4 × 4 × 4 = 64
and total no. of ways of drawing 3 cards $={}^{52}{C}_3$

$=\frac{52\times 51\times 50}{3\times 2\times 1}=22100$

So the required probability $=\frac{64}{22100}=\frac{16}{5525}$