And you can run that simulation. And we’ll talk about different ways of describing that. Now, what is the probability of getting an even number? Random number list to run experiment. There’s no way to roll this normal die and all of a sudden, you get a 2 and a 3, in fact.
I’ll assume it’s a quarter of some kind. So you can maybe view it as the sides are equal, their weight is the same on either side. Now, let’s do another very typical example when you first learn probability.
Intro to theoretical probability
Video transcript What I che,istry to do in this video is give you at least a basic overview of probability. Random number list to run experiment. If you take or quarters or pennies, cchemistry them in a big box, shake the box so you’re kind of simultaneously flipping all of the coins, and then count how many of those are going to be heads.
Random numbers for experimental probability. And there’s always some chance– even if you flipped a coin a million times, there’s some super-duper small chance that you would get all tails.
And I could write that like this– the probability of getting heads.
And you probably, just based on that question, have a sense of what probability is asking. And we’ll talk about different ways of describing that.
Try to draw George Washington. Let’s say that I have a fair coin over here. Well, in any roll of the die, I can only get a 2 or a 3.
So once again, you have six equally likely possibilities when I roll that die. So that’s the 1. Well, there’s only two possibilities. Well, 2 is even, 4 is even, and 6 is even. On one trial, you cannot get a 2 and a anssers in the same experiment. Well, what are the number of equally likely possibilities?
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So the probability of this is actually 0. It’s asking for some type of way of getting your hands around an event that’s fundamentally random. And you chemistryy run that simulation. You know, you normally think an experiment is doing something in chemistry or physics or all the rest.
So now there are two possibilities that meet my constraints, my conditions.
I encourage you to do it. So one way to think about it, and this is the way that probability tends to be introduced in textbooks, is you say, well, look, how many different, equally likely possibilities are there? Intro to theoretical probability. So one way to think about probability is if I were to do this experiment, an experiment many, many, many times– if I were to do it 1, times or a million times or a billion times or a trillion times– and the more the better– what percentage of those would give me what I care about?
Now, let’s just apply these same ideas. Well, only one of them meets my condition, that right there. Theoretical and experimental probability: So if I were to ask you, what is the probability given that I’m rolling a fair die– so the experiment is rolling this fair die, what is the probability of getting a 1?
What is the probability of rolling a 1 or a 6? And so there are six equally likely possibilities.