
Answer:
1/4
Explanation:
We are crossing a banded yellow snail with a brown unbanded snail.
bbyy x BBYY
Next we cross the F1, BbYy, with a banded yellow snail.
BbYy x bbyy
The question asks us what proportion will be banded brown, which is bbYY or bbYy. Separate this into two Punnett squares, one per trait.
Banded vs unbanded:
The chance of getting bb from our testcross is 1/2.
    Bb x bb
     b   b
  B  Bb   Bb
  b  bb   bb
Yellow vs brown:
The chance of getting Yy or YY from our testcross is also 1/2.
    Yy x yy
      y   y
  Y  Yy   Yy
  y  yy   yy
So the combined probability is 1/2 * 1/2 = 1/4.