No, they are not duplicates
My position on this should also be obvious, as I voted to re-open the challenge and have linked to two discussions I've had about this.
I would argue that the answers on the coin flipping challenge are not trivial modifications from the 1/N challenge. Looking at the answers to the coin flipping challenge, many of those languages were used in the 1/N challenge and few of those answers are a trivial modification. (Coin 1, 1/N 1; Coin 2, 1/N 2; Coin 3, 1/N 3; Coin 4, 1/N 4; Coin 5, 1/N 5; Coin 6, 1/N 6; Coin 7, 1/N 7; Coin 8, 1/N 8; Coin 9, 1/N 9) Many of the answers are very different and required golfing beyond just a hard-coded
2 to be competitive.
From my perspective, the change from taking input and feeding it in to a hard-coded
2 is just as trivial a change as between any two countdown challenges (1 2 3) or between the vanilla "Hello, World! challenge and almost any hello-world challenge that came before it (1 2 3). If this coin flipping challenge is a duplicate, then there are a lot of other "duplicate challenges" on here that need cleaning up. I do not see why this coin-flipping challenge is an exception when all of these other challenges have set a precedent that minor variations in answers are acceptable and in the case of hello world, heavily rewarded.