2 years 104 weeks ago: That was a nice time. I guess I have a knack for making great accomplishments on Thursday afternoons during holidays. Hopefully this won't fall apart like the last one

happy holidays if you're happy and you know it clap your hands; if not, go buy some containers and by Newton's third law since your wallet is now sad the equal and opposite reaction on the other object in the person-wallet system indicates that you should be happy, so smile for the camera and prove that physics still works in the year of our lord 2021 see you in 2022!

In honor of this article, I have just bought Mk7 kits with all these turrets: idk happy holidays i guess if you have something to be grateful then be happy if not be bitter and buy some containers to cry over

Come on, where is the appreciation for probability... ? Anyways I left a TL;DR for those who need it.

Actually worked this out with emra earlier. (To any CS 70 staff who may be watching please hire me this summer lol anyways). To be honest, there are a lot of words here and it might be hard to read. To make this clearer, let's first do the math and then plug in profits and whatnot after. A Tale of Two Expectations: Tanki Fund Edition Let's set up the most basic of equations, the fund draw. There are a total of n tickets. You have a total of k tickets. Choose a number m tickets from n as winners with replacement. Pr(Win on one draw) = Your Entries / Total Entries and that stays the same for each draw. Model using binomial distribution: Fund Draw ~ Binomial(n, p), where n = number of draws m and p = your entries (k) / total entries (n) Now, we want to find the expected value, or amount of times you can expect to win with k entries out of n and m winners: E[wins] = np (for binomial) = m * k/n = mk/n Then we want to find E[profits], or how much you'd actually make as a broke tanker. This can be done by multiplying E[wins] with prize (8k) and subtract by how much you spent. E[profit] = E[wins] * 8k (win tks) - k_b(p_bronze) + k_s(p_silver) + k_g(p_gold) *Note: k_b, k_g can only be 0 or 1 due to restrictions. Now here's where it gets messy: you need to add a different amount of coins to the fund with each bundle purchase, and the distribution of that can be modeled with *INTERNAL SCREAMING*. But let's put it in 4 situations, assuming a nice 10 million coin fund: All Bronze bundles All Silver bundles All Gold bundles A more realistic (but still probably not accurate) split: 40/40/20 Scenario 1: Fund = 10 million, 1k added per bundle => 10m/1k = 10k tickets (n); Winners per 8k => 10 m/8k = 1.25k winners (m) E[wins] = mk/n = k(1.25)/(10) = k/8 E[profit] = k/8 * 8k- k_b(1k); k_b = 1 => 1/8 * 8k - 1k = 0. Break Even. Scenario 2: Fund = 10 million, 3k added per bundle => 10m/3k = 3.03k tickets (n); m = 1.25k E[wins] = mk/n = k(1.25)/(3.03) ~= 5k/12 E[profit] = 5k_s/12 * 8k - k_s(6k) = 1000(40k_s/12 - 6k_s) = 1000(10k_s/3 - 6k_s) = -(8k_s/3) * 1000. Losing 8/3k, or -2667 TK. Note that this is per silver bundle. Scenario 3: Fund = 10 million, 7k added per bundle => 10m/7k = 1.43k tickets (n); m = 1.25k E[wins] = mk/n = k(1.25)/(1.43) ~= 7k/8 E[profit] = 7k/8 * 8k - k_g(15k); k_g = 1 => 7/8 * 8k - 15k = -8k. Ouch. General trend in these last 3 scenarios is that your chances are higher (naturally, fewer tickets contributing to the same size fund/# winners), but your (expected) profit margin is smaller, but not that you had one to begin with. Now let's put this in a more realistic split: Scenario 4: Average added = 0.4(1k) + 0.4(3k) + 0.2(7k) = 0.4 + 1.2 + 1.4 = 3k. Averages out at the middle option (Scenario 2). Fund = 10 million, E[added] = 3k added per bundle => 10m/3k = 3.03k tickets (n); m = 1.25k E[wins] = mk/n = k(1.25)/(3.03) ~= 5k/12 (Note that k_tot = k_g + k_s + k_b) E[profit] = 5k_tot/12 * 8k - (k_b(1k) + k_s(6k) + k_g(15k)) = 1000(10k_tot/3 - k_b - 6k_s - 15k_g) Now there is no definite simplified solution; it is all based on what you are buying (*further breakdown; people click away*): Buyer 1: 1 Bronze 1000(10k_tot/3 - k_b - 6k_s - 15k_g) = 1000(10/3 - 1) = 7/3k = +2333 TK. Finally in the green. Buyer 2: 1 Gold 1000(10k_tot/3 - k_b - 6k_s - 15k_g) = 1000(10/3 - 15) = -35/3k = -12667 TK. Buyer 3: 1 Bronze, 1 Gold Use Linearity of Expectation: 1000(20/3 - 1 - 15) = 1000(10/3 - 1) + 1000(10/3 - 15) = -10333TK. Buyer 4: j Silvers 1000(10k_tot/3 - k_b - 6k_s - 15k_g) = 1000(10k/3 - 6) = -8/3k = -2667 TK per silver bundle. I'm not going to do anything with Bronzes/Golds and Silvers as those can be easily derived through linearity of expectation. Note: this is just derived using the sample distribution of Bronze/Silver/Gold offers. Use E[wins] and E[profit] (defined above in orange) along with number of tickets (E[added]) and number of winners (Fund/8k) for when the draw occurs. You can also inverse derive E[added] using a systems of equations knowing the number of tickets and the fund, but this will not be derived because we're not here for algebra lessons. Bottom line (TL;DR): Based on the general conclusions: Your expected profits are slim to none and only gets worse with more bundles that you buy. If you want to profit in terms of Tankoins, then the Bronze bundle is the best bundle to buy. Admittedly, it is also the least flashy one and provides the least utils (at least to me; if you like supplies then I guess it's a win-win for you!) On the flipside, for less profit margin, you do get more utils for the bigger bundles. You do get sort of what you pay for - more Ultra Containers. However, those do tend to be a bit more finicky in terms of rewards (i.e. luck-based). Proportion of bundles bought varies too. If you have a bottom-heavy (lots of bronze, e.g. 80/10/10), profits are lower overall as there are more tickets, and vice versa, top-heavy (e.g. 30/40/30), profits are higher overall. So is there a catch? Well, yes. But what did you expect? It's a lottery - some people strike it big and take home grand prizes, but the majority of us walk away with our hearts sad and our wallets empty. It's just how life is. Hope that this clears up any misconceptions or confusions anyone has, and hopefully the math is correct lol. Thanks @emrakul for really sparking this conversation and idea - it was really fascinating and helped me review for my CS 70 final. Cheers! Final note: I realized I forgot to account for 10% eSports fund in all the calculations right as I finished writing the bottom line. Seeing as it's too late, I will not change it and force you to read wrong math for a lifetime. Don't worry though, the general conclusions still hold - just the Scenario probabilities/EVs/final numbers (in green/red) may be a bit off due to the fact that I cannot read.

Hey guys, haven't been here in a LONG while. Just passing by the forum and seeing that we still have lots of posts here ? Anyways, thanks all for those who wished me congratulations and a warm congratulations to all who were promoted as well as HOTM of November! Specific shoutouts to my colleagues, I mean bosses please don't ban me sorry in the SM Team @kaisdf and @natrolite; y'all are some of the best admins I've ever had a chance to work with. I'm glad to see that both of you are leading successful career and I couldn't be happier be serving under you both.

Sad to hear this news, especially with everything in real life changing so quickly once again. Hurts to see it all happen so quickly. So grateful to have worked with you, Pythor, through the early days of the TWNC up till the last days of the Newspaper project. I'll always keep the memories of collaborating through every project and various wonderful conversations close. Though this chapter of life may be closing, only better things await in the next. All the best in the future!

Hello hello! School is starting up and finally, our Newspaper powers up for a return - we know you're glad to see us back. Join us as our newest reporter @Iron_Man goes in-depth into the origins of Tanki's most infamous secret player: Godmode_ON. It's a Newspaper exclusive we know you don't want to miss. Read Here Get ready to read - the article's piping hot off the press. Enjoy!

Lowkey like how this topic randomly revived itself just for the purpose to complain about Tesla ??

Serious question: Do you offer internships? It would be fun to apply to Alternativa during recruiting season.

Winner winner! We've got some prizes to hand out for Augment Hunt - check if you're one of the lucky ones here!

Hello, readers! Another hot story comes fresh off the press! The "Origins" series continues - this time, our reporter Venerable covers the humble beginnings of the author that started it all: Pythor. Enjoy this thriller and find out the thrilling tales behind Pythor's name! Read Here "Apply for Helper" results are out! Some top-tier applications came our way, but in the end, only a couple came out on top. Were you one of them? Check it all out here! Results Here Enjoy!

"Apply for Helper" results are out! Some top-tier applications came our way, but in the end, only a couple came out on top. Were you one of them? Check it all out here!

The "Origins" series continues - this time, our reporter Venerable covers the humble beginnings of the author that started it all: Pythor. Enjoy this thriller and find out the thrilling tales behind Pythor's name!

Instructions unclear, ended up with two more rogue cakes ¯\_(ツ)_/¯

Good day, readers! The Tanki Newspaper is back with a mini birthday special! It's time to celebrate Tanki's 12th birthday, and there no better time to gather 'round and take a seat to enjoy a feel-good birthday story by our resident storywriter Hippin_in_Hawaii. We hope you'll find Boot Boot as enthralling as we did! Read Here And while you're here, why don't you get started on our holiday contest? Try out augment hunt by our new reporter candidate Ironmantonystark and earn a couple extra goodies just in time for the festivities! Participate Here That's all for today; we hope you enjoy these wonderful reads!

And while you're here, why don't you get started on our holiday contest? Try out augment hunt by our new reporter candidate Ironmantonystark and earn a couple extra goodies just in time for the festivities!

It's time to celebrate Tanki's 12th birthday, and there no better time to gather 'round and take a seat to enjoy a feel-good birthday story by our resident storywriter Hippin_in_Hawaii. We hope you'll find Boot Boot as enthralling as we did!

Morning readers! Get ready for another hot release from the Newspaper! We're back with an article from the classics - another installment of the MM: A Definitive Review series by none other than yours truly. Get the lowdown on our thoughts on the best and worst gamemodes right here! Read Here And of course, no issue would be complete without some contests and results. Thanks all for participating in the Tanki Song Parody Contest. After a bit of a delay, we've got results out. Congrats to our talented Tanki songwriters! Results Here Thanks for tuning in, and stay tuned for a huge birthday blast next week!

Thanks all for participating in the Tanki Song Parody Contest. After a bit of a delay, we've got results out. Congrats to our talented Tanki songwriters!

Our huge emergency has (hopefully) been resolved - and we have some winners to award! ________________________________________________________________________________________________________ It goes without saying that we received a lot of top-notch entries, and it was a very difficult decision to choose the top three winners. But here they are: In first place, we have Newspaper Challenge expert @chinufire1, who wrote a clean rendition of "Levitating". Follow along to the seamless parody here: Our runner-up has to be readyfireaim, who broke through with the cool classic "I'm Still Standing" turned Tanki. Take a look at the new lyrics here: And finally, third place was a difficult place to pick. In the end, @Towns's Tankiroll about Tanki Helpers came up front and took the win. Congrats! Prizes will be sent out next week. Original Post ________________________________________________________________________________________________________ Thanks for participating and sorry for the late results! Congrats to all the winners!

Morning readers! We're back with an article from the classics - another installment of the MM: A Definitive Review series by none other than yours truly. Get the lowdown on our thoughts on the best and worst gamemodes right here!

Also another Challenges-specific update: Thanks to some minor scripting and the *coughs* Google Sheet *coughs* complying for once, I've been able to submit prizes lightning fast. All previously owed prizes should be in your accounts very soon - they have been submitted! Things shall be all taken care of this weekend (hopefully) - just two final exams and then a short break to offload a couple of things. And yes, in the future, the stuck challenges will be addressed. Thanks for your patience. Competitor Season II will be awesome!

Not the Newspaper itself - just for the challenges. The Google Sheets database got a little bit... convoluted. ? JavaScript, despite being a broken and disgusting language, has the redeeming quality of being the perfect tool for making challenge and table updates much easier.

Hey guys! Final exams (for high school) will be over soon. I'll be tallying stuff up and grinding calculus and physics, and I hope to get the prizes sent as soon as I can. Unfortunately, they won't be sent during sales because the first season hasn't ended perfect for procrastinating PR. Anyways, that wasn't what I came here to say. I've just come to say that there are some huge plans for Season II. Attached in the spoiler is just a small sneak peek of what's to come ?