Critical hits work a bit differently in this RPG. If you roll the maximum value on a die, you get to roll the die again and add both dice rolls to get your final score. Critical hits can stack indefinitely -- a second max value means you get a third roll, and so on. With enough luck, any number of points is possible.
d-- The number of sides on your die.h-- The amount of health left on the enemy.
The probability of you getting h or more points with your die.
Input: d |
Input: h |
Output |
|---|---|---|
| 4 | 1 | 1 |
| 4 | 4 | 0.25 |
| 4 | 5 | 0.25 |
| 4 | 6 | 0.1875 |
| 1 | 10 | 1 |
| 100 | 200 | 0.0001 |
| 8 | 20 | 0.009765625 |
What's the expected (mean) value of a D4? (if you are hoping for as high a total as possible).
thanks to /u/voidfunction for submitting this challenge through /r/dailyprogrammer_ideas.