Belmont Stakes General Admission?

[jp6120]

I recently found out that I would have the opportunity to go to New York the weekend of the Belmont Stakes. Having never been to a Triple Crown event, are general admission tickets readily available the day of the race (especially if a crown is on the line)? I have seen them available at various online outlets for $16-$30 each. I'm not sure if I should buy now or wait until the day of the race? Thanks for any help.