# MASTERING CHEMISTRY HOMEWORK ANSWERS CHAPTER 13

And how many of those meet my conditions? So in the case of the probability of figuring out heads, what is the number of equally likely possibilities? Theoretical and experimental probability: And while we’re starting with probability, at least kind of the basic, this is probably an easier thing to conceptualize. It’s asking for some type of way of getting your hands around an event that’s fundamentally random. And you can run that simulation.

And we’ll talk about different ways of describing that. And so when I talk about a fair coin, I mean that it has an equal chance of landing on one side or another. And of course, you have, you know, the different sides of the die. We’re assuming that it lands flat. Intro to theoretical probability.

What is the probability of rolling a 1 or a 6? And so there are six equally likely possibilities.

## Intro to theoretical probability

Now, another way to think about or conceptualize probability homewori 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. So 3 of the possibilities meet my conditions, meet my constraints. I’m not talking about taking two rolls of this die.

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? But a lot of times, this is actually a helpful one, too, this idea that if you run the experiment many, many, many, many times, what percentage of those trials are going to give you what you’re asking for.

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Well, once again, there are six equally likely possibilities for what I can get. None of these are 2 and a 3. Random number list to run experiment. So here’s my die right over here. So you can maybe view dhapter as the sides are equal, their weight is the same on either side.

And I don’t want to confuse you with that, because it’s kind of abstract and impossible.

And that’s the 3. We’re assuming masteering the coin can’t land on its corner and just stand straight up. So if I were to ask you, what is the probability masteringg that I’m rolling a fair die– so the experiment is rolling this fair die, what is the probability of getting a 1? We don’t know whether it’s heads or tails, but we can start to describe the chances of it being heads or tails.

And I could write that like this– the probability of getting heads. Try to draw George Washington. 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.

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I could roll a 1 or I could roll a 6. And what I want to do– and xhapter know, of course, that there are– and I’m assuming this is a fair die. On one trial, you cannot get a 2 and a 3 in the same experiment. And we’ll talk about different ways of describing that.

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Probability, a word that you’ve probably heard a lot of, and you are probably a little bit familiar with it. If you’re seeing this message, it means we’re having trouble loading external resources on our website.

Now, let’s ansers another very typical example when you first learn probability. Intro to theoretical probability. And it’s actually a fun thing to do. So how many equally likely possibilities.

And they’re all equally likely. So there’s two possibilities here, masterng equally likely possibilities. And I want to know what is the probability of getting heads. I’ll assume it’s a quarter of some kind.

# Theoretical probability | Statistics and Probability (video) | Khan Academy

Now, what is the probability of getting an even number? So in the case of the probability of figuring out heads, what is the number of equally likely possibilities? And the other side, of course, is the tails.