So there’s two possibilities here, two equally likely possibilities. So let’s cross this out right over here. So the probability of this is actually 0. And I don’t want to confuse you with that, because it’s kind of abstract and impossible. They cannot happen at the same time. There are now two possibilities that meet my conditions.
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. Interpreting results of simulations. And while we’re starting with probability, at least kind of the basic, this is probably an easier thing to conceptualize. Video transcript What I want to do in this video is give you at least a basic overview of probability. And what I want to do– and we know, of course, that there are– and I’m assuming this is a fair die. When you roll this, you could get a 1, a 2, a 3, a 4, a 5, or a 6. So there’s two possibilities here, two equally likely possibilities.
Interpreting results of simulations. Now, what is the probability of getting an even number?
I’m not talking about taking two rolls of this die. Well, once again, there are six equally likely possibilities for what I can get.
Intro to theoretical probability. And which of these possibilities meet my conditions, the condition of being even? 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. Coin flips and die rolls.
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? 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.
And while we’re starting with probability, at least kind of the basic, this is probably an easier thing to conceptualize.
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So how many equally likely possibilities. And I want to know what is the probability of getting heads. 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?
Getting a 2 and a 3 are mutually exclusive events. I know this isn’t the kind of experiment that you’re used to. So one way to think about it, and this is the way masterjng probability tends to be introduced in textbooks, is you say, well, look, how many different, equally likely possibilities are there?
So in this situation, there’s six possibilities, but none of these possibilities are 2 and a 3.
Intro to theoretical probability
If you take or quarters or pennies, stick 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.
So in the case of the probability of figuring out heads, what is the number of equally likely possibilities? 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.
So here’s my die right over here. And of course, you have, you know, the different sides of the die. Video transcript What I want to do in this video is give you at least a basic overview of probability.
But hopefully, this will give you a little deeper understanding. Statistical significance of experiment. They cannot happen at the same time.
In this case, it was heads. And the other side, of course, is the tails. Now, let’s just apply these same ideas.
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Now, what is the probability– and this might seem a little silly answets even ask this question, but I’ll ask it just to make it clear. On one trial, you cannot get a 2 and a 3 in the same experiment. So let’s cross this out right over here.