Mendelian IBD sharing of full siblings ($J\sim \mathrm{Bin}(2,1/2)$)

In an outbred pedigree, the two full siblings receive the same paternal copy with probability $1/2$, and independently the same maternal copy with probability $1/2$. Thus the number $J$ of shared copies has a binomial distribution with probabilities $(1/4,1/2,1/4)$, and $E[J/2]=1/2$.

// Target: biology.bigb