And which of these possibilities meet my conditions, the condition of being even? And of the number of equally possibilities, I care about the number that contain my event right here. I’m not talking about taking two rolls of this die. 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 what’s the number of possibilities that meet my conditions?
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? So number of equally– let me write equally– of equally likely possibilities. So you can maybe view it as the sides are equal, their weight is the same on either side. If you’re seeing this message, it means we’re having trouble loading external resources on our website. Now, what is the probability– and this might seem a little silly to even ask this question, but I’ll ask it just to make it clear.
Theoretical and experimental probability: And how many of those meet my conditions? So in this situation, there’s six possibilities, but none of these possibilities are 2 and a 3. And you probably, just based on that question, have a sense of what probability is asking. So number of equally– let me write equally– of equally likely possibilities.
If I flip it in the air, it’s not more likely to land on one side or the other. Experimental versus theoretical probability simulation. Well, there’s only two possibilities. And there’s always some chance– even if cyapter flipped a coin a million times, there’s some super-duper small chance that you would get all tails.
So in the case of the probability homeworkk figuring out heads, what is the number of equally likely possibilities? Try to draw George Chaptet.
So 3 of the possibilities meet my conditions, meet my constraints. Let’s say that I have a fair coin over here. There are now two possibilities that meet my conditions. And they’re all equally likely. And I’m just talking about one roll of the die.
So how many equally likely possibilities. Well, once again, there are six equally likely possibilities for what I can get. Statistical significance of experiment. On one trial, you cannot get a 2 and a 3 in the same experiment.
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Well, only one of them meets my condition, that right there. Now, another way to think about or conceptualize probability that will give you this exact same answer is to say, well, if I were to run the experiment of flipping a coin– so this flip, you view this as an experiment.
I’ll assume it’s a quarter of some kind. So there’s two possibilities here, two equally likely possibilities.
None of these are 2 and a 3. And so there are six equally likely possibilities. And what I want to do– and we know, of course, that there are– and I’m assuming this is a fair die.
So the number of possibilities that meet my constraint, that meet homswork conditions. So that is heads. So now there are two possibilities that meet my constraints, my conditions. Video transcript What I want to do in this video is give you at least a basic overview of probability.
Well, I have six equally likely possibilities. You can flip a coin.
Intro to theoretical probability
They cannot happen at the same time. 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? 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?