Answer:
1/4
Step-by-step explanation:
Let the RFLP marker gene be represented by R.
Homozygous laboratory mouse will be RR
Heterozygous wild mouse will be Rr
A mating between homozygous and heterozgous individuals will be:
RR x Rr
F1 progenies will be: RR, Rr, RR, Rr which is equivalent to 2RR (homozygous) and 2Rr (heterozygous)
One of the F1 heterozygous (Rr) is now backcrossed with wild parent (Rr)
Rr x Rr
Resulting in: RR, 2Rr, rr
Hence, the proportion of the offspring that will have the same RFLP pattern as the original laboratory mouse (RR) will be 1 out of 4 or 1/4.
See the attached image for the punnet square analysis