Q. Two cards are drawn without replacement from a well-shuffled pack. The probability that one of them is an ace of heart, is

A) $\frac{1}{25}$
B) $\frac{1}{26}$
C) $\frac{1}{52}$
D) None of these
Explanation

(b)
There are two conditions arise.
(i) When first is an ace of heart and second one is non-ace of heart, the probability $= \frac{1}{52} \times \frac{51}{51} = \frac{1}{52}$
(ii) When first is non-ace of heart and second one is an ace of heart, the probability $= \frac{51}{52} \times \frac{1}{51} = \frac{1}{52}$
$\therefore$ Required probability $= \frac{1}{52} + \frac{1}{52} = \frac{1}{26}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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