One technique to deal with the overfitting problem is called Laplace smoothing.

The next ticket is pulled out to determine the winner of the second prize.

Likewise, your probability of losing well, there are two ways you can lose out of three possibilities, going to be two thirds.

Now how many of these possibilities, how many of these outcomes, how many of these simple events meet the constraints of our compound event?

Compound event Fancy word for saying that there's more than one outcome that we can say that this event has happened.

So far we've been dealing with one way of Probability, that was the probability of (A) occur,

The number of events that satisfy A over all number of the equally likely events

But there aren't really two equally likely events

First impressions are important.

Written this way, it looks really clumsy, but that's effectively what we did when we went to the truth table.

Thrun So we just learned a number of things.

And once you've done this, I want you to compute the mean of the outcome and the standard deviation.

JH Two stars, or

Piano

That's our third roll.

Now before we even think about this exact case, let's think about what it means for events to be independent.

We could use that definition and say, well, what are the total number of events where I could get heads or tails, right?

So these are not independent events.

These are a number of our science space Earth orbiters.

We have 2 random variables, X and Y, whose probability individually is 0.2.

For a single dice, these are the 6 possible faces.

A Bayes network is composed of nodes.

So this is what the definition of the probability is.

6 x 6.

Here's the result of running the Greedy agent over 500 trials.

The incident occurred yesterday on the Sydney mother ship.

That's why we call it a compound event.

They're together is 0.125.

It has no preference whatsoever. That is really the result of moving many, many times.

Now we can't say there are two equally likely events

Now this is of course not a disease per se.

Well, what's the probability that you initially picked wrong?

It was not based on magic, but mathematics.

So they are not independent.

The second event the outcomes for it, are dependent on what happened in the first event.

So if you want to figure out the probability of rolling doubles... ....the probability of rolling doubles, which is a compound event.... ...It has more than one event associated with it, more than one simple event associated with it.

And I think that's a good time now that we've drawn this tree and we've talked about two flips in a row, to realize that these are mutually exclusive events.

(Laughter)

There was no progress, no innovation.

So if we look at this way there's this probability.

The key thing to realize is that the left handed coordinate system is equally valid.

They're calling these events the pattern.

Three of them are incidents that we haven't been aware of.

Symbolic Codes has three sons

So congratulations, you've implemented the very first example of probability where the event probability is 0.1 and the complementary event and negation of it is encapsulated in this function over here.