I don’t fully understand the question: “draw 40 playing cards” seems to contradict “12 successive picks.”

Since it’s with replacement, the deck remains intact for each draw. In a standard deck of 52 cards with Jokers excluded, there are 13 Clubs and 39 non-Clubs. Thus, the probability of not drawing a Club (i.e., drawing a non-Club) on any single draw is 39/52 = ¾.

For successive draws, the probability of not drawing a Club is compounded because each draw is independent: .