I'm not sure what the real question is. I'm thinking at least part of it is "Help me understand the mechanics of exploding dice" so I'll start there.
Where N is the size of the die.
Average # of rolls = N/(N - 1)\$\dfrac N {N - 1} \$
Average result of an exploding die = N*(N+1) / (2 * (N-1))\$ \dfrac {N (N+1)} {2(N-1)} \$
Die Average Average
Rolls Value
d4 1.3333334 3.3333333
d6 1.2 4.2
d8 1.1428572 5.142857
d10 1.1111112 6.111111
d12 1.0909091 7.090909
d20 1.0526316 11.052631
\begin{array}{l|ll} \text{Die} & \text{Average rolls} & \text{Average value} \\ \hline \text{d4} & 1.3333334 & 3.3333333 \\ \text{d6} & 1.2 & 4.2 \\ \text{d8} & 1.1428572 & 5.142857 \\ \text{d10} & 1.1111112 & 6.111111 \\ \text{d12} & 1.0909091 & 7.090909 \\ \text{d20} & 1.0526316 & 11.052631 \end{array}
Once you know the averages, or the formulas, you can better eyeball your odds of any particular result at the table.
Gory math details are here