2B Jane is an ant an organism with a haplodiploid mating sys

2B) Jane is an ant, an organism with a haplo-diploid mating system (females are diploid, males are haploid). In a parallel of J.B.S. Haldane’s statement, should Jane give up her life to save two of her sisters? Assume all ants can reproduce and will produce 2 offspring (neither is correct in reality, but assume it for your calculations). List all of your calculations, and your reasoning on why you plugged in specific numbers.

Solution

In Hymenoptera, the order of insects that includes the bees, ants having unusual genetic method of sex determination of sort - haploid male - diploid female is called Haplo-diploid mating system.  

Male : it has mother but no father, male develop from an unfertilized egg, making them haploid

Female: these are diploid - two copies of each chromosome

According to Hamilton rule we calculation relatedness .   Under this assumption mother only mate once, sister are more strongly related to each other than own daughter

gene proportions in haplo-diploid :

Father and Son = 1/2 ; Full Brother = 1/4

Mother and Daughter = 1/2 ; Full sister = 1/4

So according question assumption not possible to reality.