The number of ace in a deck of 52 cards is =4
The number of spade in a deck of 52 cards is = 13.
The number of ace of spade in a deck of 52 cards is =1
The event is non-exclusive hence the probablity can be determined as,
[tex]\begin{gathered} P(A\cup S)=P(A)+P(S)-P(A\cap S) \\ =\frac{4}{52}+\frac{13}{52}-\frac{1}{52} \\ =\frac{16}{52} \\ =\frac{4}{13} \end{gathered}[/tex]Thus, option (A) is correct.
