![]() ![]() You don’t have to already know any set theory to use Venn diagrams to calculate probability, though, as we’ll cover everything you need to know in this chapter. In set theory, the possibility space is equivalent to the set of all possible outcomes, and a possible event forms a subset of this. Is there a connection?Ī: There certainly is. Q: I’ve seen Venn diagrams before in set theory. As long as the probability is expressed in some form as a value between 0 and 1, it doesn’t really matter. Q: Are probabilities written as fractions, decimals, or percentages?Ī: They can be written as any of these. It can help you make sense of apparent randomness. ![]() Probability theory can help you make predictions about your data and see patterns. A lot of statistics has its origins in probability theory, so knowing probability will take your statistics skills to the next level. Q: Why do I need to know about probability? I thought I was learning about statistics.Ī: There’s quite a close relationship between probability and statistics. ![]() Here are some examples on a probability scale. A lot of the time, you’ll be dealing with probabilities somewhere in between. If it’s an absolute certainty, then the probability is 1. If an event is impossible, it has a probability of 0. Probability is measured on a scale of 0 to 1. In stats-speak, an event is any occurrence that has a probability attached to it-in other words, an event is any outcome where you can say how likely it is to occur. You can use it to indicate how likely an occurrence is (the probability that you’ll go to sleep some time this week), or how unlikely (the probability that a coyote will try to hit you with an anvil while you’re walking through the desert). Probability is a way of measuring the chance of something happening. Var rouletteWheel = new RouletteWheel(RouletteNumber.Have you ever been in a situation where you’ve wondered “Now, what were the chances of that happening?” Perhaps a friend has phoned you at the exact moment you’ve been thinking about them, or maybe you’ve won some sort of raffle or lottery. Keep spinning until we've returned a number Throw new Exception("The roulette number sections are larger or smaller than the size of the wheel!") Check if the roulette number sizes match the size of the wheel Public RouletteWheel(params RouletteNumber rouletteNumbers) Var rouletteNumbers = new RouletteNumber įor (int i = 0 i (entries.Item1, entries.Item2) Public static RouletteNumber CreateRange(Tuple entries) Public RouletteNumber(T number, int size) #Roulette physics calculator code#However when it comes to my probability testing, I decided to try it out as a 6-sided die, after 10,000,000 trials it should generate an average die roll of about 3,5 unfortunately it doesn't even come close to that the average after 10,000,000 trials is about 2,9 so I am guessing there is a weakness in my number selection somewhere? I have posted unit tests and actual code below: public class RouletteNumber So far it has passed the more basic unit tests, that is, programatically it works, I can create a roulette wheel and fill it with a bunch of generic values and it will do just that. I'm working on a roulette wheel class, it should function more or less like a regular roulette wheel where certain numbers can take up a larger portion of the roulette wheel and thus have a higher probability of being chosen. ![]()
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