Приклади вживання Fair coin Англійська мовою та їх переклад на Українською
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It's 1 if my fair coin is heads.
There's roughly a 1/3 chance that I picked a fair coin.
It's 0 if my fair coin is tails.
So there's a 5/8 chance that I pick a fair coin.
Each fair coin leads to two equally likely leaves- heads and tails.
Right? b is four out of six heads, given a fair coin.
So given that you have a fair coin, with a 25% chance that you have 2 heads in a row.
So that's why it became alittle bit less likely to get a fair coin.
The fair coin now splits into six equally likely leaves- three heads and three tails.
Let's think about the situation when we have a completely fair coin here.
So let's start again with a fair coin, and this time, instead of flipping it four times let's flip it five times.
So five in fifteen-- that's the same thing as 1/3-- that I pick a fair coin.
If he had the fair coin, we know this flip can result in two equally likely outcomes- heads and tails.
What are the total possible outcomes if I'm flipping a fair coin eight times?
Now if I pick a fair coin, given that I have a fair coin, what is the probability given the fair coin? .
So there's 2 to theeighth possible outcomes when you flip a fair coin eight times.
A series of coin tosses with a fair coin has one bit of entropy, since there are two possible states, each of which is independent of the others.
So if you want to know what is the probability that you picked a fair coin and you got two heads in a row?
And what's interesting is, the four out of six heads,it kind of decreased the probability that we got a fair coin.
It's a little bit less than a 1/3 shot that we picked the fair coin, given that we got four out of six heads.
And we will get the calculator outin a second and actually calculate what this is now lets do the same thing for the fair coin.
We're want to try to figure out the probability that I picked out a fair coin, given that I got four out of six heads.
I want to make it very clear the 0.25 is the probability of getting twoheads in a row given that you knew you got a fair coin.
What I want to know is, what is the probability that I picked out a fair coin, given that I got four out of six heads?
For the probability of this whole series of events happening,you would have to multiply this times the probability that you actually got a fair coin.
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.
For the probability of picking a fair coin and then given the fair coin get two heads in a row will be the 5 eighths times the 25%.
So another way of thinking about it is this is the probability that you got a fair coin and you have two heads in a row.
So we could get it through this method by chance picking the fair coin Or through this method by chance picking the unfair coin. .
So how do I factor in this idea that I don't know if I have picked a white fair coin or an orange unfair coin. .