The web version of the 'Mathhammer' app does
not show the number of shots needed to achieve a 50% chance of killing the target; it shows the
average number of shots to kill the target.
The difference between the two is tricky and gets into distribution curves, and they each have their own application, but if you want to know the average number of shots to kill a unit, the Mathhammer app or just doing the calculation yourself is the way to go.
For example: Let's say you have a trial that will succeed on a 6 on a
D6. Very simple. How many dice do you need to roll to expect at least one 6?
1 success / 0.1666 success chance = 6 average. You roll six dice, you average a single 6. This is the easy and useful calculation.
But what's the actual chance of succeeding with six dice? You can calculate that by determining the chance of none of the dice rolling 6, which is .8333^6 , which comes to 33%. That means you have a 67% chance of at least 1 die showing a 6.
To get a 50% chance of rolling at least one six, you need to roll four dice. .83333^4 = 0.48, giving a 52% chance of at least one six.
And if you want a 90% chance of rolling at least one six, you need to roll thirteen dice. .83333^13 = .093, giving just over a 90% chance of at least one six.
Bottom line: Unless you really enjoy doing logarithms, stick to average results, and the Mathhammer app will be sufficient.
Automatically Appended Next Post:
To be clear, if you're using
this particular website, it's dead wrong in its 'Shots required to have a 50% chance of killing the target' calculation.
The programmer appears to have just taken the number of shots required to average one kill, and divided it in two. That is not statistically accurate at all.
I would just ignore that part of it entirely and focus on averages.
Edit: Messing around with it further, I have no idea how the 50% chance numbers are being calculated, but it's way off- it's claiming 42 lasgun shots has a 50% chance of killing a Knight. Just stick to averages, and understand that when average damage = target's wounds, the likelihood will be in the 60-80% range.