Relatives vary in the proportion of alleles that they share in common, and the coefficient of relatedness is a measure of the probability that an allele is in common between relatives. For example, the coefficient of relatedness is 0.5 for one parent and offspring, 0.5 for sibs, 0.25 for half sibs, and 1.0 for dizygotic twins. By sharing alleles, relatives end up sharing the additive effects of individual alleles.
While the relationship for the proportion of shared alleles between a parent and an offspring is exact, the relationship between sibs is probabilistic. Offspring get exactly one half of their genes from a single parent. However, it is theoretically possible that full sibs could share none of their alleles, one of each pair of alleles, or both pairs of the alles. How could this be? First we can label alleles that parents could potentially give to their children: 1, 2 from their mother and 3, 4 from their father. Likewise, the situation where sibs share no genes occurs with probability one-quarter for any given gene. The most likely situation is when sibs share a single allele of a pair of alleles, which occurs with probability of one-half. Finally, if offspring happen to share both copies of their alleles in common they also share any dominance relations between the two pairs of alleles that they inherit. This occurs with probability one quarter for any given gene.