Intermdiate Inheritance: In cattle there is a pair of genes, red &
white, neither of which is dominant over the other. When both genes
(alleles) are present the blended mixture produces a roan apperance
intermediate between red & white cows. If a bull is red, the cow
white, what colors are possible for their offspring? If both parents
are roan, what are the genotypic and phenotypic ratios for the claves?
Genetypic ratio ____ ? Phenotypic_______ ?

I'm using R to represent the red allele, and W for the white one. 

First part first: 
The bull is red, and the cow is white. So the bull must have a
genotype of RR, and the cow is WW.
RR x WW:
   | W  | W  |
--------------
 R | RW | RW |
--------------
 R | RW | RW |
--------------
I think this one was fairly straightforward! In every case, the
offspring will have the one of each allele, giving RW genotype and
hence the roan phenotype. That is to say, roan is the only possible
colour for their calves.

Now, if both parents were roan:
RW x RW:
   | R  | W  |
--------------
 R | RR | RW |
--------------
 W | RW | WW |
--------------
We get 1/4 RR, 2/4 RW, and 1/4 WW. 
The genotypic ratio, then, is 1 RR : 2 RW : 1 WW, or 1:2:1
And the phenotypic ratio is 1 red : 2 roan : 1 white, or 1:2:1 again.