Two cards are drawn successively from a well-shuffled ordinary deck of 52-playing cards without replacement and is noted that the second card is a king. The probability of the event 'first card is also a 'king' is

Question

Two cards are drawn successively from a well-shuffled ordinary deck of 52-playing cards without replacement and is noted that the second card is a king. The probability of the event 'first card is also a 'king' is (A) (2/19) (B) (1/17) (C) (3/49) (D) (4/5)

Tardigrade Admin · Accepted Answer

Number of kings left are 3. cards are 51 p=(3/51)=(1/17)

Q. Two cards are drawn successively from a well-shuffled ordinary deck of $52$ -playing cards without replacement and is noted that the second card is a king. The probability of the event 'first card is also a 'king' is

$\frac{2}{19}$

$\frac{1}{17}$

$\frac{3}{49}$

$\frac{4}{5}$

Number of kings left are $3$ .
cards are $51$
$p = \frac{3}{51} = \frac{1}{17}$

Q. Two cards are drawn successively from a well-shuffled ordinary deck of 52-playing cards without replacement and is noted that the second card is a king. The probability of the event 'first card is also a 'king' is

192​

171​

493​

54​