Final answer:
Group D, with hands fused, would most likely face extinction due to the severe limitation on the ability to perform essential tasks which affect survival and reproduction.
Step-by-step explanation:
The mutation that would MOST LIKELY result in the extinction of a group of organisms is b) Group D hands fused. In evolutionary terms, mutations can significantly impact an organism's ability to survive and reproduce, which in turn affects its fitness within its environment.
Fused hands could severely hamper an organism's ability to perform necessary tasks such as foraging, climbing, or escaping predators, thereby decreasing its survival chances.
This would likely outweigh the disadvantages of having long nails, short legs, or paddle hands, which could still allow the creatures to function in their environment, albeit perhaps less efficiently.