And the probability of b given a is equal to the probability of b given a times a. And then we played around a little bit and we got this. And this is called Bayes' theorem or Bayes' law.

By the chain rule, the probability of that sequence is the probability of its times the probability of water given its , times the probability of is given its water , times the probability of so given its water is , and finally times the probability of transparent given its water is so .

Detecting problems

Awareness of Issues

And what we care about is what's our prior probability of spam that maximizes the likelihood of this data?

So what's the probability of b, or the probability of getting four out of six heads?

But what we can do is we can rearrange this equation right here to get if we just divide both sides by the probability of b, we get the probability and I'll do this in a vibrant color the probability of a given b is equal to the probability of b given a, times the probability of a divided by the probability of b.

Solving Problems

1 Detecting problems

Anyway, I've been requested to do a playlist on probability, and I think that's an excellent idea, so I will start doing a playlist on probability.

We found that probability of not X given Y is 1 minus probability of X given Y.

Probability

So let's do a playlist on probability.

So that's the probability of b.

Risk estimation severity and probability of health safety damage

The probability of B is a sum over all probabilities of B conditional on A, lower caps a, times the probability of A equals lower caps a.

That's equal to the probability of a occurring given b, times the probability of b, which is also equal to the probability of b occurring given a, times the probability of a.

You should always be able to intuitively come to this conclusion, even if you forget Bayes' theorem, which I do all the time and then I go through that thought process that we did at the end of the last video over again. But let's see how we can apply this to this problem. So we want to figure out the probability that we pick the two sided coin given that we observed when we flip it five times we got 5 heads.

The probability of tails is 0.8, thereby my head probability becomes 1 minus 0.8, which is 0.2.

What's one chance in 600?

lowercase b from my second parent with a probability of p.

T բջիջնռրը արդեն կունենան

Please tell me about your problem.

If you plan to start using a hormonal contraceptive

This has several problems.

4.1 Identification of bottlenecks and their solutions

So it's the probability that we get four out of six heads, given a fair coin, times the probability of a fair coin, over the probability of getting four out of six heads either way.

So that's the probability that I get heads on the first flip and then heads on the second flip. Well, look at it this way. If on the first flip we already know that we have a 5 chance or 1 2 chance on the first flip, right?

This is called the prior, and this is called marginal likelihood.

So, the probability of given that we don't have cancer is 0.2, but the prior here is 0.99.

(Ratings used with regard to compliance LL low likelihood, ML medium likelihood, HL high likelihood).

Let's get back to that low probability event.

That's the probability of given that we do have cancer.

And we have to think about, how many of these scenarios satisfy our condition 2 heads?

And you might want to watch some of the probability videos on this when I talk about the binomial theorem and all that. Because I go into this in a little bit more detail.

Now how many possibilities are there for the second head?

the capability to assess the likely port security risks

So if I just want 5 times 4 what I can do is I divide 5 factorial divided by 3 factorial.

Multiple problems affect employment.

Tom didn't want to know about my problems.

Everyone in the office knew about Tom's problems.

Well, there's I mean there's a lot of issues.

I'm speaking so much about all the problems.

... but EU Canada relations are confronted by a number of problems

Analysis of enforcement problems and solutions