Q. The probability that the three cards drawn from a pack of 52 cards, are all black, is
A) $\frac{1}{17}$
B) $\frac{2}{17}$
C) $\frac{3}{17}$
D) $\frac{2}{19}$
Explanation
(b)
In a pack of 52 cards, there are 26 black cards.
$\therefore Required\ probability = \frac{\ ^{26}C_{3}}{\ ^{52}C_{3}}$
$= \frac{26 \times 25 \times 24}{3 \times 2 \times 1} \times \frac{3 \times 2 \times 1}{52 \times 51 \times 50}$
$= \frac{2}{17}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.