This file will simulate the chances of your party getting hit with a tier three knowledge bomb after a certain number of turns.  You start at tier zero, and the chances of leveling up each round are as follows:<br>0 => 1: 255/256<br>1 => 2: 50%<br>2 => 3: 25%<br><br>Basically, the AI learns what monsters are immune to after you hit level 3 and they will stop casting spells that have no chance of working.<br><br><table width=500px><tr><td>Turn</td><td>Lv 1</td><td>Lv 2</td><td>Lv 3</td></tr><tr><td>1</td><td>0.99613</td><td>0</td><td>0.00058</td></tr><tr><td>2</td><td>0.99998</td><td>0.49608</td><td>0.00058</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.74716</td><td>0.12431</td></tr><tr><td>4</td><td>1</td><td>0.87495</td><td>0.28138</td></tr><tr><td>5</td><td>1</td><td>0.93776</td><td>0.43023</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.96857</td><td>0.55855</td></tr><tr><td>7</td><td>1</td><td>0.98425</td><td>0.65879</td></tr><tr><td>8</td><td>1</td><td>0.99217</td><td>0.73967</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99601</td><td>0.80118</td></tr><tr><td>10</td><td>1</td><td>0.998</td><td>0.8492</td></tr><tr><td>11</td><td>1</td><td>0.99893</td><td>0.88696</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99947</td><td>0.91534</td></tr><tr><td>13</td><td>1</td><td>0.99972</td><td>0.93629</td></tr><tr><td>14</td><td>1</td><td>0.99984</td><td>0.95227</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.9999</td><td>0.9645</td></tr><tr><td>16</td><td>1</td><td>0.99995</td><td>0.9737</td></tr><tr><td>17</td><td>1</td><td>0.99997</td><td>0.98043</td></tr><tr><td>18(6 I)</td><td>1</td><td>0.99998</td><td>0.98546</td></tr><tr><td>19</td><td>1</td><td>0.99999</td><td>0.98943</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99211</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99411</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99571</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99693</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99781</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99838</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.99889</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99933</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.9996</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99988</td></tr><tr><td>30(10 I)</td><td>1</td><td>1</td><td>1</td></tr></table><br><hr><Br>And again, with +1/256 to each chance.<br><table width=500px><tr><td>Turn</td><td>Lv 1</td><td>Lv 2</td><td>Lv 3</td></tr><tr><td>1</td><td>1</td><td>0</td><td>0.00035</td></tr><tr><td>2</td><td>1</td><td>0.50173</td><td>0.00035</td></tr><tr><td>3(1 I)</td><td>1</td><td>0.75171</td><td>0.12705</td></tr><tr><td>4</td><td>1</td><td>0.87761</td><td>0.28657</td></tr><tr><td>5</td><td>1</td><td>0.93941</td><td>0.43626</td></tr><tr><td>6(2 I)</td><td>1</td><td>0.97018</td><td>0.56237</td></tr><tr><td>7</td><td>1</td><td>0.98508</td><td>0.66675</td></tr><tr><td>8</td><td>1</td><td>0.99277</td><td>0.74827</td></tr><tr><td>9(3 I)</td><td>1</td><td>0.99626</td><td>0.81062</td></tr><tr><td>10</td><td>1</td><td>0.99802</td><td>0.85716</td></tr><tr><td>11</td><td>1</td><td>0.99901</td><td>0.89261</td></tr><tr><td>12(4 I)</td><td>1</td><td>0.99955</td><td>0.91981</td></tr><tr><td>13</td><td>1</td><td>0.99974</td><td>0.93995</td></tr><tr><td>14</td><td>1</td><td>0.99982</td><td>0.95562</td></tr><tr><td>15(5 I)</td><td>1</td><td>0.99986</td><td>0.96712</td></tr><tr><td>16</td><td>1</td><td>0.99996</td><td>0.97581</td></tr><tr><td>17</td><td>1</td><td>0.99998</td><td>0.98215</td></tr><tr><td>18(6 I)</td><td>1</td><td>1</td><td>0.98703</td></tr><tr><td>19</td><td>1</td><td>1</td><td>0.99032</td></tr><tr><td>20</td><td>1</td><td>1</td><td>0.99264</td></tr><tr><td>21(7 I)</td><td>1</td><td>1</td><td>0.99454</td></tr><tr><td>22</td><td>1</td><td>1</td><td>0.99607</td></tr><tr><td>23</td><td>1</td><td>1</td><td>0.99722</td></tr><tr><td>24(8 I)</td><td>1</td><td>1</td><td>0.99812</td></tr><tr><td>25</td><td>1</td><td>1</td><td>0.99868</td></tr><tr><td>26</td><td>1</td><td>1</td><td>0.9992</td></tr><tr><td>27(9 I)</td><td>1</td><td>1</td><td>0.99949</td></tr><tr><td>28</td><td>1</td><td>1</td><td>0.99974</td></tr><tr><td>29</td><td>1</td><td>1</td><td>0.99989</td></tr><tr><td>30(10 I)</td><td>1</td><td>1</td><td>1</td></tr></table><style type="text/css">
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