
Or would it be
Odds in favor of A = 26/52 / 1  26/52 = 26 / 51

"Odds in favor of A = 26/52 / (1 26/52)= 0"
A in the above expression actually evaluates to 26/52 / (126/52) = (1/2) / (1/2) =1:1
However, I would reason it this way:
The first card can be either a spade or a heart, so the probability is 26/52.
The second card has to the complementary suit, namely a spade if the first one was a heart, and vice versa.
Probability of the second card is therefore limited to one suit out of 51 cards, or 13/51.
Probability of both events happening is
(26/52)*(13/51)=(1/2)*(13/51) = 13/102
Odds are
(13/102) / (113/102)
= 13/89
13:89

I have a question about the answer, how did you get 13/89, I don't understand how you got 89


Here it is, in a little more detail:
(13/102) / (113/102)
= (13/102) / ((10213)/102)
=(13/102) / (89/102)
=13/89
=13:89