Answer:
[tex]= \frac{6}{55}[/tex]
Step-by-step explanation:
The computation of experimental probability is shown below:-
The Number of king in a well shuffled deck consists 52 cards which is
= 4
The Number of ways of drawing consists of 4 king in 13 repetitions which is
= [tex]^{13}C_4[/tex]
In 13 repetition, 2 kings are drawn by [tex]^{13}C_2[/tex] way
Now,
[tex]P(E) = \frac{^{13}C_2}{^{13}C_4} = \frac{13 !} {(13-2) ! } / \frac{13 !}{(13 - 4)! 4!}[/tex]
[tex]= \frac{13 !}{11 !\ 2 !} / \frac{13 !}{9 !\ 4 !}[/tex]
[tex]= \frac{9 !\ 4 !}{11 !\ 2!}[/tex]
[tex]= \frac{4\times 3}{11\times 10}[/tex]
[tex]= \frac{6}{55}[/tex]
Therefore for computing the experimental probability we simply applied the above formula.
