So the number of possibilities that meet my constraint, that meet my conditions. And how many of those meet my conditions? And you can run that simulation. I could roll a 1 or I could roll a 6. None of these are 2 and a 3. 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. They cannot happen at the same time.
And that’s the 3. And what I want to do– and we know, of course, that there are– and I’m assuming this is a fair die. Well, only one of them meets my condition, that right there. Interpreting results of simulations. And this is the idea of rolling a die.
So how many equally likely possibilities. When you roll this, you could get a 1, a 2, a 3, a 4, a 5, or a 6. And of course, you have, you know, the different sides of the die.
But hopefully, this will give you a little deeper understanding.
Theoretical probability | Statistics and Probability (video) | Khan Academy
And I’m just talking about one roll of the die. So you can maybe view it as the sides are equal, their weight is the same on either side. I’ll assume it’s a quarter of some kind. 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?
And what’s the number of possibilities that meet my conditions? None of these are 2 and a 3. Coin flips and die rolls. Statistical significance of experiment. If I flip it in the air, it’s not more likely to land on one side or the other.
Intro to theoretical probability
And how many vhemistry those meet my conditions? Try to draw George Washington. And what I want to do– and we know, of course, that there are– and I’m assuming this is a fair die. Probability, a word that you’ve probably heard a lot of, and you are probably a little bit familiar with it.
And which of these possibilities chemisstry my conditions, the condition of being even? So now there are two possibilities that meet my constraints, my conditions. And I want to know what is the probability of getting heads.
Mastering chemistry homework answers chapter 12 – Google Docs
So once again, you have six equally likely possibilities when I roll that die. And of the number of equally possibilities, I care about the number that contain my event right here.
And that’s the 3. So number of equally– let me write equally– of equally likely possibilities.
Well, I have six equally likely possibilities. Well, once again, there are six equally likely possibilities for what I can get. So 3 of the possibilities meet my conditions, meet my constraints.
Experimental versus theoretical probability simulation. The other side right over there is tails. On one trial, you cannot get a 2 and a 3 in the same experiment.
Well, 2 is even, 4 is even, and 6 is even. 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 answrs more the chwmistry what percentage of those would give me what I care about?
And so if I were to ask you, what is the probability– I’m going to flip a coin. Well, there’s only two possibilities.
I could roll a 1 or I could roll a 6.