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Hello! Can anyone help me with some probability questions related to table-top roleplaying?
The game in question is World of Darkness, which uses a dice pool probability.
A player rolls a number of 10-sided dice, any die that comes up higher than the "target number" is a success. The typical target number is 7, but it can range up and down.
Say two players are rolling against each other.
Player A rolls a number of dice against a difficulty 7.
Player B rolls a number of dice against a difficulty that might be anywhere from 5 to 9.
Assuming they roll an equal number of dice, how much does Player B different target number matter?
If player A rolls eight dice against TN 7, and player B rolls eight dice against a TN 9, how likely is it that B loses? Similarly, if B rolls against TN 5, how likely is it that he succeeds?
I've come across the following equation.
1-(Successes_required * (Probability_of_failure^Dicepool))
or more specifically
1-(Successes_required * (((11-Target Number)/10)^Dicepool))
Essentially, I want to replace the "success required" variable, with Player A's own roll. So if Player A gets 2 successes over the target number, then B needs to get at least 2 or more successes on their end.
Any math dudes help me out? Hope I've been clear, please ask me anything else you need to know.
>>7948034
shit, clarification
A player rolls a number of 10-sided dice, any die that comes up *EQUAL TO OR* higher than the "target number" is a success
Also, can anyone explain to me the (11-TN)/10^Number of Dice? I understand that (11-TN)/10 gives the probabilities of the 10 sided dice, but the exponent is all thats required to calculate extra dice?
>>7948042
What I believe you are looking for with
1-(Successes_required * (((11-Target Number)/10)^Dicepool))
Is described by pic related formula, the 'binomial distribution' for a discrete random variable. This describes, in your dice roll example, the probability of x successes out of n rolls, where p is the probability of a success and q is the probability of failure, which is 1-p.
For this question, "how likely is it that B loses", we first need to look at the probability of...
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>>7948329
Here's a non-shit picture.
I failed my calculus exam for the second time now. How do I study math?
you can't
just cheat
instead of memorising everything try to understand everything, build you knowledge up from the ground so when you lose the roof the house is still standing.
math is useless bro
study art
What are the limitations on silicon based life? What challenges face it? How does it compare to carbon-based lifeforms? I know that silicon is worse for life than carbon, but why and how?
I recall reading something about them hardening upon contact with water. Why is that?
Gold based life
Sodium based life
Plutonium based life
Potassium based life
They'll be heavier, that's it. Also nothing stops Si life to use both Si and C.
>>7947547
>Gold based life
>Sodium based life
>Plutonium based life
>Potassium based life
Are those actually possible?
>They'll be heavier, that's it.
What about the lack of metabolism? The silicate they breathe out?
![robot-1[1].jpg](https://i.imgur.com/1jePS0b.jpg "robot-1[1].jpg")
![Game_of_life_pulsar[1].gif](https://i.imgur.com/4y0FSqU.gif "Game_of_life_pulsar[1].gif")
