Solve[{(x(x-1)+y(y-1))/((x+y)(x+y-1))=p,(x(x-1)+z(z-1))/((x+z)(x+z-1))=1/2,(y(y-1)+z(z-1))/((y+z)(y+z-1))=1/2, (x(x-1)+y(y-1)+z(z-1))/((x+y+z)(x+y+z-1))=11/32 }]