Assuming the inteest is annual, since it's simple that means we just have to analyze:
, where r is our interest rate as a decimal, t is time, p is our principal investment and A is our ending value. So, in the context of our problem this becomes:
, which when evaluated by our trusty calculator becomes:
There's 1 side labeled "4" out of 6 sides total. So that's where the 1/6 comes from.
The "given that you already rolled a four on the first die" is unneeded info in my opinion, because each die is separate or independent from one another.