Here we had one probability to estimate.

And numbers in between give you the gray levels of uncertainty.

You accumulate knowledge throughout your life in memories.

I think we're ready to substitute into the Bayes' formula, which we Bayes' Theorem that we rederived.

Put differently, p(Z) is the sum over all i of just this product over here.

And the answer is surprisingly high. It's 25 26, or 0.9615.

We study again our die. You observe the following sequence 1, 2, 3, 2.

My resulting probability will be 1 α of the non normalized probability.

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Supposed suicide.

It might still see a door here, but it's just less likely.

P of R given H and not S can be inverted by Bayes' rule to be as follows.

You wrote an algorithm that implements what's called Markov localization.

I just want to tell you what you've learned, because you did amazingly well.

So let's see if we can solve the probability that we picked a fair coin, given that we got four out of six heads.

W 0, where 0 is your iteration number, and then you up with it iteratively.

Let's now talk about Bayes Rule and look into more complex Bayes networks.

Thrun

Now I'm going to make it a little bit more formal.

Stop estimating backup size

Simple extrapolation.

It was invented by Reverend Thomas Bayes, who was a British mathematician and a Presbyterian minister in the 18th century.

We find that along the main diagonal our uncertainty has shrunk substantially.

I will now teach you about estimators.

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Control estimates their descent at 100 meters an hour.

Estimated time of death? Coroner puts time of death somewhere between 10 and 1 last night.

So Bayes' Theorem and let me do it in this corner up here.

Estimated writing speed

You presume correctly.

...because we hope there are survivors

This has nothing to do with total probability and all with Bayes Rules, because I'm talking about observations.

What's the probability of rain on day 1 given that I observed that I was happy on day 1?

So that's the definition of what it means to have the best correction.

And we're going to apply the exact same mechanics as we did before.

It's hours, people per hour.

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These red are the countries that doesn't do it, and the policy has to be improved.

Goldman Sachs projected 2027.

Also, there'd be more job opportunities there.

You really learned a lot about SLAM.

Obviously, it's 1 out of 4. It's 0.25.

An estimated 350,000 people were exposed to the bombing