Final answer:
The probability of extinction is indeed lower for core populations than for satellite populations in a metapopulation due to the larger size and greater genetic diversity of the core populations.
Step-by-step explanation:
The statement that the probability of core population extinction is less than that of satellite populations in a metapopulation is true. In metapopulation dynamics, the core or mainland population typically has a low risk of extinction due to its size and genetic diversity.
In contrast, smaller satellite populations are more prone to extinction, often depending on the core population for replenishment and genetic diversity. This is exemplified in conservation approaches that utilize the metapopulation model, which recognizes the importance of managing a series of interconnected populations to ensure species persistence.