Question

Two cards are drawn one after another without replacement from a well shuffled pack of 52 playing cards, if the 1st card is known to be king the probability that the second card is also king is

• A. $\frac{12}{13}$
• B. $\frac{1}{13}$
• C. $\frac{1}{17}$
• D. $\frac{12}{17}$

Answer 1

Answer: (C)

$\frac{1}{17}$

There are 2 possibilities:
(i) Both cards are kings: $4\ast 3=12$
(ii) One card is a king and the other is not a king: $4\ast 48=192$
Hence, probability $=\frac{12}{12+192}=\frac{12}{204}=\frac{1}{17}$