As one might have expected, the more information you have, the more your odds go up. If you carefully examine the possibilities, you will realize that there are twice as many ways to get any two aces as to get the ace of spades plus any other ace. But there are four times as many ways to get any ace plus any non-ace as to get the ace of spades plus any non-ace. Thus, your odds roughly get halved if you only know you have an ace but don't know its suit.