With Respect to a Gene with Two Alleles,for Each Generation $\frac { 1 } { 2 }$

Essay

With respect to a gene with two alleles,for each generation of complete inbreeding the proportion of heterozygotes is expected to be reduced by $\frac { 1 } { 2 }$ while the proportion of each homozygous class is expected to increase in frequency by $\frac { 1 } { 4 }$ .Explain why this is so.