Crossing over allows for recombination of genes on a chromosome. A geneticist decided to study three different genes on chromosome 1 of the Manhattan Trumpet Beetle: O (wild-type allele codes for black head, while a recessive mutant allele codes for orange head), F (wild-type allele codes for smooth thorax, while a recessive mutant allele codes for hairy thorax), and Vg (wild-type allele codes for normally sized wings, while a recessive mutant allele codes for vestigial wings).

The recombination frequency between O and F was 10%, and the recombination frequency between F and Vg was 4%.

(1) An undergraduate intern caught a male Manhattan Trumpet Beetle with black head, smooth thorax, and vestigial wings, and decided to conduct a test cross of this beetle with a homozygous recessive female.

If this male beetle is heterozygous for both O and F, would the student be able to discover which alleles lie on the same chromosome? If so, what would the proportion of each phenotype be in each of the cases?