Answer :
Solution
For this case we can define the following events:
C= the card selected is a club
F= the card selected is a face card
We want to find this probability:
[tex]P(\text{CUF)}[/tex]We can use the total rule of probability and we have:
[tex]P(\text{CUF)}=P8C)+P(F)-P(C\cap F)[/tex]And we can find the individual probabilities like this:
[tex]P(C)=\frac{13}{52}[/tex][tex]P(F)=\frac{12}{52}[/tex]And the intersection is given by:
[tex]P(C\cap F)=\frac{3}{52}[/tex]Replacing we have:
[tex]P(\text{CUF)}=\frac{13}{52}+\frac{12}{52}-\frac{3}{52}=\frac{22}{52}=\frac{11}{26}[/tex]Then the answer is:
11/26