​In a paper wasp, a worker helps to raise 4 full-sisters instead of producing 4 offspring of her own. According to Hamilton's rule, will selection favour this altruistic behaviour in terms of genetic units?​

Correct option is A

EXPLANATION-

Hamilton's rule (rb > c) determines if altruistic behavior is favored by natural selection. Here:

“Genetic units gained” refers to the benefit (b)  to the 4 full-sisters.
“Genetic units lost” refers to the cost (c) to the worker

Total relatedness:
         $$(0.5 \times 0.5) + (0.5 \times 1.0) = 0.25 + 0.5 = 0.75$$​​
So, the relatedness r between the worker and her full-sisters is 0.75. This high relatedness is why altruism is often observed in haplodiploid species.

Benefit to the recipient (full sisters): The worker helps raise 4 full-sister offspring. Since the relatedness to her full sisters is $$r = 0.75$$, the genetic units gained by helping to raise 4 full-sister offspring are:

           b = $$4 \times 0.75 = 3.0$$ genetic units​

Cost to the worker (c): Forgoing 4 offspring, each sharing 0.5 of her genes, results in a genetic cost of

                   c =  $$4 \times 0.5 = 2.0$$ genetic units

So, the correct option is (a)