Let me explain what Dagon meant, using your example. The total information required to select 1 card out of 52, e.g. ◊10, is about 6 bits (think of it as 6 divisions in half). In the first case you receive 5 of those bits when you're told what the two cards are, and 1 more bit when you actually draw the card. Only that last bit depends on the random event. In the second case you receive all 6 at once, so all 6 depend on the random event.

ETA: I didn't downvote you.