Friday, September 7, 2012

Ride Chains and Probability



Tsukuyomi/Galahad

Tsukuyomi and Galahad's chains, from grade 0 to 2, all posses the ability ' At the beginning of your ride phase, look at the top five cards of your deck, search for up to one "-------------------out of the five cards, ride it, and send the rest of the cards to the bottom of your deck in any order. If ridden, you cannot do a normal ride during that ride phase.






(1-(((45*44*43*42*41*43*42*41*40)/(49*48*47*46*45*47*46*45*44))*((39*38*37*36*35)/(43*42*41*40*39))))*(1-((45*44*43*42*41*43*42*41*40*39)/(49*48*47*46*45*47*45*46*44*43))*((38*37*36*35*34)/(42*41*40*39*38)))*(1-(((45*44*43*42*41*43*42*41*40*39*38*37)/(49*48*47*46*45*47*45*46*44*43*42*41))*((36*35*34*33*32)/(40*39*38*37*36))))=45.5%



Amber Dragons and More

For those ride chains that consist of a Grade 0 that searches the Grade 2 of the line if the correct Grade 1 rides over it.










(1-((45*44*43*42*41*43*42*41*40)/(49*48*47*46*45*47*46*45*44)))*(1-(((45*44*43*42*41*43*42*41*40*39*38*37)/(49*48*47*46*45*47*46*45*44*43*42*41))*(1-(1-((46*45*44*43*42*44*43*42*41*40)/(49*48*47*46*45*47*46*45*44*43)))*(1-((45*44*43*42*41*43*42*41*40*39)/(49*48*47*46*45*47*46*45*44*43))))))=42.8%



Spectral Duke Dragon and co.

Finally, the most inconsistent chain to find, these units only reveal the top 7 cards if the Grade 1 is ridden, making those of this Ride Chain the most inconsistent to work with.









(1-((45*44*43*42*41*43*42*41*40)/(49*48*47*46*45*47*46*45*44)))*(1-(((45*44*43*42*41*43*42*41*40)/(49*48*47*46*45*47*46*45*44))*((39*38*37*36*35*34*33)/(43*42*41*40*39*38*37))*(((39*38*37*36*35*34*33)/(43*42*41*40*39*38*37))*(39/43)+(1-((39*38*37*36*35*34*33)/(43*42*41*40*39*38*37))*(38/42)))))*(1-(((45*44*43*42*41*43*42*41*40)/(49*48*47*46*45*47*46*45*44))*((39*38*37*36*35*34*33)/(43*42*41*40*39*38*37))*(((39*38*37*36*35*34*33)/(43*42*41*40*39*38*37))*(39*38*37/(43*42*41))+(1-((39*38*37*36*35*34*33)/(43*42*41*40*39*38*37))*(38*37*36/(42*41*40))))))=34.6%

12 comments:

  1. Wow! It must costs you a lot of effort to get these numbers. Great job!

    Anyway, can I post these calculation on my blog too?

    ReplyDelete
  2. Sephirot*

    I like how you used the sleeves instead of the actual cards for your example. :p

    ReplyDelete
  3. Updated with more accurate numbers.

    ReplyDelete
  4. I just love this type of articles, it provides me with an extra insight into the game.

    Could I also add, I saw something similar on Alice's blog (Vmundi) before. And she arrived with a similar conclusion that ride chains could be inconsistent, but the numbers she got were 1/2, 1/4 and 1/8 respectively. Maybe you could cross refer to her maths.

    Any way excellent job! Keep em coming!

    ReplyDelete
    Replies
    1. Alice actually came to me about that. Stuff happened, Alice did a LOT of testing, and it turns out my numbers are somewhere around much closer.

      Actually, Alice has updated that blogpost shortly after her testing, and now our numbers just about line up.

      Delete
  5. Have you done reviews on particular ride chains by clan? Despite their type, some are worse than others when they get their payoff. For example Stern Blaukluger is frickin sick once he gets off, but then compare that to say.........Lox from Great Nature, who I believe to be the absolute abysmal worst of the Ride Chains (unless someone can prove me otherwise as I have the cards to make a Lox deck, but cannot see any potential in them) - I'm also not a fan of persona blasts! :D

    ReplyDelete
    Replies
    1. I'm planning on scrapping this entire article and going more in depth on to each specific type of ride chain, as I've already done for the Second Generation one.

      Also, I think that would be an unfair comparisons of 'ride chains' as that seems to be a comparison between decktypes, something of which I'd rather not write too much into because it quickly becomes more opinions than it is solid, provable facts

      Delete
  6. Could You Do Calculations On The New Ride Chains (Artemis And Genovious) Please?

    ReplyDelete
    Replies
    1. I've been planning to get around with that, but between schoolwork and finishing all these supplementary articles for a DA Stern Blaukluger build just taking a lot of my time, it'll be a while to get to it from here.

      Delete