Four cards are successively drawn without replacement from a deck of 52 playing

cards. The probability that all the four cards are king is

Let A denote the event that the first card is king.
Let B denote the event that the second card is king.
Let C denote the event that the third card is king.
Let D denote the event that the fourth card is king.
$\begin{array}{l}\mathrm{P}(\mathrm{A}\cap \mathrm{B}\cap \mathrm{C}\cap \mathrm{D})=\mathrm{P}\left(\mathrm{A}\right)\times \mathrm{P}(\mathrm{B}/\mathrm{A})\times \mathrm{P}(\mathrm{C}/\mathrm{A}\cap \mathrm{B})\\ =\frac{4}{52}\times \frac{3}{51}\times \frac{2}{50}\times \frac{1}{49}\\ =\frac{1}{13}\times \frac{1}{17}\times \frac{1}{25}\times \frac{1}{49}=\frac{1}{270725}\end{array}$