Answer:
D. 1/64
Step-by-step explanation:
The desired genotype for the progeny = aabbcc (homozygous recessive for all the three loci). The probability of getting a progeny with a homozygous recessive genotype can be calculated during the product rule. 
The parent genotypes= AaBbCc x AaBbCc 
Aa x Aa = 1/4 AA: 1/2 Aa: 1/4 aa 
Bb x Bb = 1/4 BB: 1/2 Bb: 1/4 bb 
Cc x Cc = 1/4 CC: 1/2 Cc: 1/4 cc 
Therefore, the probability of getting a progeny which is homozygous recessive for all the three traits (aabbcc)= 1/4 aa x 1/4 bb x 1/4 cc = 1/64