Just happened to walk by there an hour ago. The flame area looks like Cock Hill which I recently posted a pic of in the photo thread. One of my dog’s favorite spots. Thanks Biden.
I’m a little late to the bluesky party but it seems pretty good so far.
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Math people help me out here.
Imagine a game where you flip a coin until you get tails. You get a point for each time the coin comes up heads. For example, the sequence T gets 0 points and the sequence HHT gets 2 points.
What is the expected number of points for one round of this game?
It seems like the answer is 1, or at least that seems to be the limit of the infinite sequence that expresses the expected value. But it’s been a long time since I learned about limits, and I’ve forgotten how to show this formally.
it’s one or the other
Reposting since my previous comment was wrong.
This is the infinite sum 1/n^2
half a chance for 1 point (HT), quarter of a chance for an additional point (HHT)…
More rigorously:
Calculate the Expected Value
The expected value is the average of the points you expect to get per game if you played many times. It’s calculated as:
(Probability of Outcome 1 * Points for Outcome 1) + (Probability of Outcome 2 * Points for Outcome 2) + …
So, for our game:
Expected Value = (1/2 * 0) + (1/4 * 1) + (1/8 * 2) + (1/16 * 3) + …
This is an infinite series. To simplify it, let’s call the expected value ‘E’:
E = (1/4) + (2/8) + (3/16) + (4/32) + …
Now, multiply both sides by 1/2:
E/2 = (1/8) + (2/16) + (3/32) + (4/64) + …
Subtract the second equation from the first:
E - E/2 = (1/4) + (1/8) + (1/16) + (1/32) + …
This leaves us with:
E/2 = 1/2 (because the right side is a geometric series that sums to 1/2)
Multiply both sides by 2:
E = 1
Therefore, the expected number of points for one round of this game is 1.
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is it actually decided that trump can even do this? Most of these appointments will be voted on before he even takes office, won’t they? Or, at least, hearings will start, which from what I understand, pre-empts POTUS’s ability to do a recess appointment.
Ultimately it’s up to Tillis from what I gather, he has to explicitly take some step to set up the legal conditions for Trump to be able to make recess appointments, right?
In the Hard Times/Hard Drive Slack, the Hard Times chief posts topical/breaking news topics every day for people to pitch headlines about. At the end of today’s post, he wrote, “And as great as it is The Onion bought Infowars, I don’t think we are going to find a headline about it that does it all justice. We can just sit back and do a slow clap for The Onion.”
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I’m sitting here with my mouth open. Apparently this is real, not onion.
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Does The Onion have more money than Elon? He’s really dropping the ball here.
Elon already owns the new InfoWars.
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At this point would I get in trouble for removing political signs on public property?
You might get shot doing that in USA#1.
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For what it’s worth the specific sign I’m going to take down is a local candidate who lost, and somebody is putting NEW signs up for her. This aggression will not stand, man.
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The onion is under new ownership by a really interesting guy that wants to turn it into a new type of media company that is more ethical than the current ad-based model that existed previously and wasn’t working well financially for the onion. Whether or not that will happen idk but that is what he is saying. listened to a podcast called “better offline” hosted by ed zitron where he interviewed him.
As for the vitamins and supplements, we are halting their sale immediately. Utilitarian logic dictates that if we can extend even one CEO’s life by 10 minutes, diluting these miracle elixirs for public consumption is an unethical waste. Instead, we plan to collect the entire stock of the InfoWars warehouses into a large vat and boil the contents down into a single candy bar–sized omnivitamin that one executive (I will not name names) may eat in order to increase his power and perhaps become immortal.
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" No price would be too high for such a cornucopia of malleable assets and minds. And yet, in a stroke of good fortune, a formidable special interest group has outwitted the hapless owner of InfoWars (a forgettable man with an already-forgotten name) and forced him to sell it at a steep bargain: less than one trillion dollars."
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Alternate answer to computing the infinite series is that, either the first flip is T and you get 0, or the first flip is H and you get this one point and you play the game again.
So the value E must solve E = 1/2 (E+1) which means E=1
Are you asking bc of Pokemon cards ? I’ve been playing with my 7yo and it seems he way overvalues these kind of cards (I haven’t yet taught him how to compute this expectation, have to keep my edge lol)
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