Step 1: Understand haplodiploidy in honey bees.
Haplodiploidy is a sex-determination system where:
1. Males (drones) are haploid and develop from unfertilized eggs.
2. Females (workers and queens) are diploid and develop from fertilized eggs.
Sisters (workers) share:
- 50\% of their genes from their mother (due to random assortment during meiosis).
- 100\% of their genes from their haploid father (as all sperm from a haploid individual are identical).
The total relatedness between sisters is:
\[
r = 0.5 (from \ mother) + 0.5 \times 1 (from \ father) = 0.75
\]
Step 2: Analyze relatedness in other pairings.
Brother-brother pairs: Relatedness is 0.5, as they share the same haploid mother.
Brother-sister pairs: Relatedness is 0.25, as the brother contributes no paternal genes.
Mated female-male pair: Relatedness is 0, as unrelated individuals mate.
Sister-sister pairs: Relatedness is 0.75, as calculated above.
Step 3: Evaluate the options.
Option (A): Incorrect. Brother-brother relatedness is 0.5.
Option (B): Incorrect. Brother-sister relatedness is 0.25.
Option (C): Incorrect. Mated female-male relatedness is 0.
Option (D): Correct. Sister-sister relatedness is 0.75.