Q. One card is drawn randomly from a pack of 52 cards, then the probability that it is a king of spade, is

A) 1/26
B) 3/26
C) 4/13
D) 3/13
Explanation

(c)
Probability of getting a king $= \frac{4}{52} = \frac{1}{13}$
Probability of getting a spade $= \frac{13}{52} = \frac{1}{4}$
Probability of getting king and a spade $= \frac{1}{52}$
$\therefore P$(king or spade)$= P$(king)+$P$(spade)$- P$(king and spade)
$= \frac{1}{13} + \frac{1}{4} - \frac{1}{52} = \frac{4 + 13 - 1}{52} = \frac{16}{52} = \frac{4}{13}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.