General Discussion

General DiscussionSome math

Some math in General Discussion
altskop

    Say, I buy a new PC and get gut internet to get back to dota. And I'm also ambitious as fuck, as I want to jump from 4.5k to 6k mmr. How ling do you think it will take?
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    And now math comes in.
    There is 1500 mmr gap, 1500/25=60 games that I have to win in a row. But since there is no freakin way to play with 100% winrate, I will also lose matches. At my current winrate in ranked (which is 54.01%), 4% of the games are THESE 60 that I have to win to get to 6k. Now:

    4% = 60 games
    1% = ~15 games
    100% = 1500 games

    So to get to 6k from 4.5k with winrate 54.01% is gonna take about 1500 games, which is also roughly 1.5k hours. 1.5k hours is 2 months of nonstop (literally) dota playing. Say, I'm gonna play about 2-3 games a day in average, so it will take 500-750 days to get gut.

    I see you all on ti7 in 2 years

    Seoulmate

      By then someone will have hit 10k mmr lol

      LaughingStock

        I'm impressed you actually figured that shit out. Like... too much work for my small brain

        arin

          your math is wrong
          luckily that's good for you

          Let's say you have 54% winrate and you want to get over 1500 mmr gap. That equals to (roughly, it's probably a bit more) 60 games won in a row. (60*25=1500)

          With 54% winrate, you will lose 46% of your games. That means the other 46% percent of matches won't matter, because you will lose 46% of games and win another 46% => zero points acquired. That leaves 100%-46%-46% = 8% of matches you have to win (not necessarily in a row, since you get over 50% winrate with these wins, these points will count.)
          So 8% of the matches is those 60 games.

          8%=60 games, so 100%=750 games you have to play with 54% winrate.

          arin

            if you don't believe, you can check it like this:
            750*0.54=405 (won)
            750*0.46=345 (lost)
            405-345=60 (the difference from 50% wr, won matches)

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            Bad Intentions

              About a year or two

              Infinite Ominous Guarantees

                if you have a 54% winrate at <4.5k you will not have that going on so it will take even longer.

                Sir

                  winrate is not Directly connected to mmr. Math is wrong in so many lvls i dont even know where to start.

                  la the yeezy

                    ^did he say anything about winrate being correlated to mmr? He calculated the time it will take for him to get 6k mmr assuming that he has the same winrate. I believe you're the one who is wrong here

                    the realm's delight

                      math Kreygasm

                      arin

                        @sir
                        what are you talking about

                        we know initial mmr (4500), we know final mmr (6000), we know winrate (54%), we know how many pts you get for win (25, that's the only point where it's a bit unclear because you sometimes get a bit less or more, so I said that the actual number of games might be a bit different)
                        what's wrong with that

                        we're not calculating with the FINAL winrate (with the games played to this point)

                        we just want a number of games you need to play to gain 1500 mmr with 54% winrate

                        arin

                          actually the final winrate will be around 54% as well, if he was playing with 54% wr to this point.. i'm a bit braindead as it seems

                          TripleSteal-

                            there are two kinds of people depending on their reaction when they face something they don't understand. the first ones are those who think others are stupid and doing mistakes, and the second ones consider themselves to be unable to get the idea due to lack of knowledge or w/e.
                            both might be roght in different cases, but the over-confident ones create negative impression in any case.

                            Mushi

                              The only problem is that will you maintain that win rate at higher MMR.

                              Giff me Wingman

                                lets put the spam doom factor in.

                                Oh 6k in 2 weeks.

                                altskop

                                  @Arin, oh, that's right, I knew I made a mistake somewhere, ty
                                  Doesn't look THAT terrifying now :D

                                  Sir

                                    a colloquial expression used to preface a statement that generalizes and juxtaposes people into two polar opposite groups based on their personal behaviors or preferences

                                    HOW VERY MATH, perhaps add this nonsense to your mathproof! OH YOU KIDS

                                    Mokujin

                                      get your dicks, I mean dictionaries out boys

                                      8
                                      8

                                        With 54% your expectation value is at +2mmr per match (0.54-0.46)*25, hence the 1500/2 = 750 games to gain those points. Assuming +/- 25 mmr ofc.

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                                        Mokujin

                                          so many matheMAGICIANS on db btw

                                          arin

                                            "guys maybe if i will pull out my dictionary and throw all these technical terms into one post, i'll surely look smart"
                                            yoo rofl

                                            Totentanz to The King: M ...

                                              I got my dictionary out Kreygasm

                                              MARLAN

                                                1) your winrate will go down
                                                2) you need to get better at dota faster than your competition if for example, you gave it 100% of your effort and got to 4.6k, technically that means you cannot get more mmr unless other players slack off.

                                                Ninoeshaebashu

                                                  i always love the ambitious person. go replace dendi

                                                  TripleSteal-

                                                    i dont understand what is it all about, but since it is about maths, im in lmao
                                                    whom are we flaming?

                                                    Relentless

                                                      Arin did the math right, but it doesn't matter because as Marlan says your winrate will decrease as MMR increases.

                                                      There is little reason to believe you could ever reach 6k MMR no matter what you do if you have a only a 54% winrate at 4.5k.

                                                      You have to actually outplay everyone in between you and 6k players hundreds of times so you have to truly be a superior player to do it. If you were, then you would win 4.5k games very easily not by a slight 4% margin.

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                                                      Androgynous

                                                        how can u defeat pros in dota 1 with a 51% winrate at 3k
                                                        Kappa

                                                        TripleSteal-

                                                          ^^the fact that he has 54% and 4.5k is not a good indicator.
                                                          he could progress at higher speed when he was in 3ks, and in this case it reasonable to assume that his winrate will decrease later. But if he had 54% when he had 3k, 4k and has it now, it might be just the constant rate of his progress, which reflects how fast he learns things.

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                                                          Relentless

                                                            It's easy.

                                                            Step (1) get on teams with pro players
                                                            Step (2) play 5 role
                                                            Step (3) get wards up without feeding => enemy pro players defeated because their 3.8k player fed like crazy.

                                                            Anyway my winrate in Very High is 55.87%. Those are 4k MMR + games. I know how to play support very well, but supporting people who are bad doesn't accomplish much. I don't have the talent to play other roles at Very High mmr.

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                                                            TripleSteal-

                                                              theorically if you can maintain urself at 4k by playing supports, you can grind mmr in lower bracket just cz on a sample of games which is large enough u gonna have strictly positive winrate, am I wrong?

                                                              arin

                                                                i'm sure that you can make a lot of impact by supporting in lower bracket if your teammates aren't totally braindead

                                                                for example, i used to play lion a lot in 4.5k when i was in triplestack
                                                                when i tried to play in lower bracket, it felt actually really easy and i could see enemies out of position (which i wouldn't notice before playing with triple). you could dominate all the lanes alone just by running around map and pressuring every lane by ganking and opponents had no idea what to do