Cut a Deal

Sorcery

Each opponent draws a card, then you draw a card for each opponent who drew a card this way.

Although the draws are not optional, if an opponent doesn't draw a card, perhaps because a replacement effect replaced the draw with another effect, that player is not counted when determining how many cards you draw.
If an opponent drew more than one card this way due to a replacement effect, you still draw only one card for that player.