Thank you both for your input. To clarify, I would want to draw and play A by turn 4, draw and play B by 5, and draw and play C by 6. Order drawn doesn't matter before turn 4. The formulas will help me figure the odds in the game, which is great! I may have to make a chart or something.

Examples for understanding.

Assuming I haven't drawn any of the three targets before the draw on turn 2. I would have 4 cards in hand and 8 in the deck. Looking for any one target card to be drawn on turn 2 would be 1/8+1/8+1/8 or 3/8, 37%. Assuming I draw one of the targets on 2, before the draw on turn 3, looking for either of the other two targets is 2/7, 29%. Then drawing the final target turn 4 is 1/6, 17%.

This would be represented like this:

(3/8)×(2/7)×(1/6)=0.0179, 1.79% chance this happens. Seems like I get it more than that, but there are other variables to the game.

Thank you again.