Interpreting results of simulations. And what’s the number of possibilities that meet my conditions? Well, 2 is even, 4 is even, and 6 is even. So now there are two possibilities that meet my constraints, my conditions. But an experiment is every time you do, you run this random event.
When you roll this, you could get a 1, a 2, a 3, a 4, a 5, or a 6. If I flip it in the air, it’s not more likely to land on one side or the other. And what’s the number of possibilities that meet my conditions? And of the number of equally possibilities, I care about the number that contain my event right here. Now, let’s do another very typical example when you first learn probability. Experimental versus theoretical probability simulation. Getting a 2 and a 3 are mutually exclusive events.
Statistical significance of experiment. Try to draw George Washington. And I want to know what is the probability of getting heads. It’s asking for some type of way of getting your hands around an event that’s fundamentally random.
Video transcript What Chqpter want to do in this video is give you at least a basic overview of probability. Intro to theoretical probability.
And what’s the number of possibilities that meet my conditions? What is the probability of rolling chejistry 1 or a 6? I know this isn’t the kind of experiment that you’re used to. 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?
And which of these possibilities meet my conditions, the condition of being homewlrk
Intro to theoretical probability
So now there are two possibilities that meet my constraints, my conditions. So there’s two possibilities here, two equally likely possibilities. And I could write that like this– the probability of getting heads. Probability, a word that you’ve probably heard a lot of, and you are probably a little bit familiar with it. You could either get heads, or you could get tails. Answerx the other side, of course, is the tails.
So that is heads. I’m not talking about taking two rolls of this die. And they’re all equally likely.
Now, let’s do another very typical example when you first learn probability. And of course, you have, you know, the different sides of the die. And while we’re starting with probability, at least kind of the basic, this is probably an easier thing to conceptualize. So let’s cross this out right over here.
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? In this case, it was heads. Well, I have six equally likely possibilities.
Well, what are the number of 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.
Answer: Determine the name for P4O a. | Clutch Prep
On one trial, you cannot get a 2 and a 3 in the same experiment. Well, in any roll of the die, I can only get a 2 or qnswers 3. You know, you normally think an experiment is doing something in chemistry or physics or all the rest. So here’s my die right over here.
Theoretical probability | Statistics and Probability (video) | Khan Academy
And how many of those meet my conditions? What percentage of those would give me heads? Now, let’s just apply these same ideas.