Bayes' Theorem, Clearly Explained!!!!

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  • Опубліковано 22 гру 2024

КОМЕНТАРІ • 471

  • @statquest
    @statquest  2 роки тому +19

    Support StatQuest by buying my book The StatQuest Illustrated Guide to Machine Learning or a Study Guide or Merch!!! statquest.org/statquest-store/

    • @25BDominique2021
      @25BDominique2021 2 роки тому +2

      I just ordered mine. It should be here tomorrow 🥳🎉

    • @statquest
      @statquest  2 роки тому +2

      @@25BDominique2021 BAM! :)

    • @veeek8
      @veeek8 Рік тому +1

      Just did! Because you are a genius and I finally understand Bayes Theorum!

    • @statquest
      @statquest  Рік тому

      @@veeek8 HOORAY! Thank you very much! :)

    • @rudraksh111
      @rudraksh111 9 місяців тому +1

      Grateful to your animation team kudos to you and your team . You are basically changing the way school and education system worked for more than 150 years.😊😊

  • @alexcastillo8507
    @alexcastillo8507 2 роки тому +174

    Can’t believe I bought three books to figure out what was show to me in two UA-cam videos. Fantastic job good sir. Love the content and just became a subscriber.

    • @statquest
      @statquest  2 роки тому +15

      bam!

    • @txreal2
      @txreal2 2 роки тому +6

      I minor in math in college 20 hrs ago and forgot almost everything. This channel makes everything so simple. Thanks Josh!

    • @statquest
      @statquest  2 роки тому

      @@txreal2 Thank you!

  • @johnwig285
    @johnwig285 3 роки тому +46

    Josh...you have no idea how life changing ur channel is in my journey of exploring data science

  • @hannaabe5188
    @hannaabe5188 3 роки тому +76

    one stat quest video a day keeps the failures away! Thanks Josh for the awesome content as always :)

  • @hemm2333
    @hemm2333 Рік тому +31

    One of the best key points to take is the longer form of representation of conditional probability. Never seen this explained in such great and easy detail than here. The longer notation makes everything so easy and simple to understand. You've a great talent to make the subject easily comprehensible for everyone. No other video in UA-cam has put this concept in such a simple way to understand. Thanks & Triple Bam....❤

  • @riorvall
    @riorvall 3 роки тому +13

    Just yesterday I was looking to refresh my knowledge on Bayes theorem when I saw this video appear on my feed. Thank you StatQuest! Best way to learn and review statistics!

    • @statquest
      @statquest  3 роки тому

      Thank you very much! :)

  • @bin4ry_d3struct0r
    @bin4ry_d3struct0r 2 роки тому +5

    This is a much more intuitive explanation of Bayes' Theorem than the one I first learned with terms like hypothesis, evidence, prior and posterior.

    • @statquest
      @statquest  2 роки тому

      Thank you! :)

    • @mohammadidreesbhat1109
      @mohammadidreesbhat1109 2 місяці тому

      My prior knowledge was confusing after watching this video my Posetrior knowledge is BAM

  • @mastadodo
    @mastadodo 2 роки тому +12

    I really like your videos so far, you are explaining everything enough in detail without making the videos longer than necessary. The clean animations and speaking are also godsent!

  • @范姜-d1q
    @范姜-d1q Рік тому +4

    Thank you! I didn't understand Bayes while I was studying in high school. Now I understand it! Your explain is so clear!

  • @josevaldes7493
    @josevaldes7493 3 роки тому +3

    I´m a statistics student from Colombia and I want to tell you Your channel is awesome man. keep it this great job. Thank you. again Googleplex BAM!

    • @statquest
      @statquest  3 роки тому +1

      Glad you like StatQuest!!!

  • @HeyRemy
    @HeyRemy 2 роки тому +4

    That intro is worth the price of admission alone. Thank you for making this; just subscribed!

  • @akashkewar
    @akashkewar 3 роки тому +88

    I am an Indian and I love soda, but I love StatQuest more

    • @statquest
      @statquest  3 роки тому +29

      Triple bam!!! :)

    • @THEMATT222
      @THEMATT222 2 роки тому +4

      @@statquest Noice 👍 Doice 👍 Ice 👍 you BAMed Throice 👍

    • @heartless1160
      @heartless1160 2 місяці тому

      But I love candy bhai 😼

  • @gyulboxing
    @gyulboxing 2 роки тому +13

    I believe your videos on UA-cam could make great substitutes for many of stats course content in universities around the world!

  • @audaxxion
    @audaxxion Рік тому +1

    After this video, I wouldn’t say I understand because this is the first time I dove in this topic, but now I certainly have the idea and I’m fascinated! Great video

  • @danief929
    @danief929 2 роки тому +2

    You are amazing! I was not understanding Bayes theorem no matter how I look at and now, after watching the video, I completely understand

  • @theFriendlyGhst
    @theFriendlyGhst 2 роки тому +2

    You're notes about notation really helped me. I think that's where I got confused before seeing this.

  • @pedrazzinig
    @pedrazzinig Рік тому +2

    The "slightly" redundant notation is very important and I do agree that it deserves to be there/used. And, the/your explanation is excellent. Thank you.

  • @misterbennnn
    @misterbennnn 2 роки тому +1

    I went headfirst into a grad school cryptography class with zero knowledge of anything math related past high school, and this has helped me out a lot. Thank you!

  • @koryhardcastle81
    @koryhardcastle81 Рік тому +1

    I started this video and instantly jumped to subscribe. I love stats and you are the BEST at teach stats! Had to come back and comment just to make sure you know it :)

  • @shae6557
    @shae6557 Рік тому +2

    I was struggling to understand Bayes Theorem in my biostats class and this video explained it so well. Thank you Josh!

  • @auzaluis
    @auzaluis 3 роки тому +5

    Only God knows how much I love this channel

  • @exoticcoder5365
    @exoticcoder5365 Рік тому +3

    12:35 it’s tricky, meaning the same thing but with different words, thanks Josh for making it clear

    • @statquest
      @statquest  Рік тому

      Thanks! That was probably the most confusing part of Bayes' Theorem when I learned about it on my own.

  • @kwstantinaparadisopoulou7569
    @kwstantinaparadisopoulou7569 3 роки тому +2

    This is the best channel for data science!!

  • @involuntaryoccupant
    @involuntaryoccupant 4 місяці тому +1

    if i ever become a professor (this is my dream), i will definitely recommend your videos for my students. your videos helped me sooo much on soooo many courses. currently doing my bachelors, wish me luck! thank you statquest!

    • @statquest
      @statquest  4 місяці тому

      Good luck! BAM! :)

  • @TheRonakagrawal
    @TheRonakagrawal 3 роки тому +7

    Don't know how many ppl relate to it.. but unnecessary optimisations to notations has really screwed up the learning/understanding of concepts. A concrete example is @03:08
    This was so spot on!!!

  • @LucasMoratoAraujo-v1n
    @LucasMoratoAraujo-v1n 11 місяців тому +1

    Greetings from Brazil. You are simply a legend, mr. quest. Love the content and the dorky intros! Thank you for everything! ❤

    • @statquest
      @statquest  11 місяців тому

      Muito obrigado!!! :)

  • @AkshatKalra-gw5cx
    @AkshatKalra-gw5cx Рік тому +1

    Everyone should watch your videos, loved this derivation of the Bayes theorem !
    I wish I'd find you sooner.

  • @reakal7740
    @reakal7740 3 роки тому +17

    Right on time 😊 I started studying conditional probability and Bayes' rule just yesterday! Thanks StatQuest!!

  • @fernunez2131
    @fernunez2131 2 роки тому +1

    This videos help me a lot to understand the concepts, and then when I read the 'technical' definition I don´t get scared. DOUBLE BAM!

  • @mohammadidreesbhat1109
    @mohammadidreesbhat1109 2 місяці тому +1

    In most of the cases, what they teach , formulation and nothing else. This video teaches formulation as well as intuition. Great explanation Stat quest. I must say Tripple BAM

  • @nemeziz_prime
    @nemeziz_prime 3 роки тому +6

    Your explanations and animations are simply BRILLIANT 😍

  • @akagordon
    @akagordon 3 роки тому +13

    I really like where this is going.

  • @ankithguzz
    @ankithguzz 3 роки тому +4

    I have been waiting for your video on Bayes theorem! So excited :)

  • @OwenMcKinley
    @OwenMcKinley 3 роки тому +16

    Thank you, Josh! An excellent 'Quest, indeed 😊

    • @statquest
      @statquest  3 роки тому +1

      Glad you enjoyed it!

  • @alialnaghipour7787
    @alialnaghipour7787 2 місяці тому +1

    unpopular opinion:
    i think the redundancy you use in equations are making it more complex,but the explanation is awesome!

    • @statquest
      @statquest  2 місяці тому

      Your opinion is actually the popular one, and mine is the unpopular one. Most people write out the equations without the redundancy.

  • @joaomcarmo
    @joaomcarmo 3 роки тому +6

    This might be one of the best things on YT.

    • @statquest
      @statquest  3 роки тому +3

      Wow! Thank you very much! :)

  • @txreal2
    @txreal2 2 роки тому +1

    I minor in math in college 20 hrs ago and forgot almost everything. This channel makes everything so simple. Thanks Josh!

    • @statquest
      @statquest  2 роки тому

      Thank you very much! :)

  • @Iron-Bridge
    @Iron-Bridge 2 роки тому +1

    I wish you were my lecturer in school and uni. Your material and presentation is that good 👏

  • @tijmentans5174
    @tijmentans5174 2 роки тому +1

    rn studying already really long, but your videos make it doable. Thanks

  • @SaintSaint
    @SaintSaint 3 роки тому +3

    Wow. Thank you so much! I'm not doing anything with Bayesian probability.... but this was so good I had to watch it through! Subbed. I knew how to get a degree of belief and check it... but I didn't know WHY until your video and the "why" is so important.

    • @statquest
      @statquest  3 роки тому +2

      Glad you enjoyed it!

  • @RO-gf7je
    @RO-gf7je 3 роки тому +3

    You are a blessing to humanity!

  • @lashlarue7924
    @lashlarue7924 2 роки тому +1

    You are such a great teacher. Any uni should be bending over backwards to put you on tenure track just for the clinical brilliance alone.

  • @FengyuanHu
    @FengyuanHu 11 місяців тому +1

    Dear Josh, your videos are super fun to watch and learn as well as your book, hope you have a chance to revisit the idea of making a series of Bayesian Statistics in 2024. Triple KUDOs to you.

    • @statquest
      @statquest  11 місяців тому

      That would be awesome!

  • @whateew
    @whateew Рік тому +1

    Studying philosophy of probability, this vid was a massive help for understanding logical theory type stuff !

  • @nikitasinha8181
    @nikitasinha8181 2 роки тому +1

    U sing really well brings smile on face before setting mood for lecture

  • @escape0707
    @escape0707 3 роки тому +1

    At 3:05, I immediately endorsed the video and went to watch the previous video.

  • @szemingkoi6927
    @szemingkoi6927 3 роки тому +4

    thank you, Josh! always had a hard time with stats and bayes' theorem

  • @adeoyeoladipupoibrahim3066
    @adeoyeoladipupoibrahim3066 2 роки тому +1

    You are great.
    You are really helping build a great future for a lot of people

  • @yashvora3099
    @yashvora3099 2 роки тому +1

    Great video. Struggled to understand this all my life. I am from India and we LOVE soda.

  • @hemesh5663
    @hemesh5663 3 роки тому +1

    Hands down best channel❣️

    • @statquest
      @statquest  3 роки тому +1

      Thank you!

    • @hemesh5663
      @hemesh5663 3 роки тому +1

      @@statquest I should be the one thanking you, you are absolute legend, literally I am not lying, I have never seen a lecture as clear as this and thank you for this service.

    • @statquest
      @statquest  3 роки тому +1

      @@hemesh5663 bam! :)

  • @profh9382
    @profh9382 3 роки тому +2

    Beautifully explained, finally, I get Bayesian. Bam 💥 💥

  • @yujimao0622
    @yujimao0622 4 місяці тому +1

    find this before my exam, very helpful, wish me luck

  • @jonathanbernardo3833
    @jonathanbernardo3833 3 роки тому +3

    Josh!! Thanks a lot, I love your videos :)
    Please show us the hypothesis testing in Bayesian perspective.
    Looking forward to more videos with Bayesian statistics.

    • @statquest
      @statquest  3 роки тому +4

      That's the plan. Unfortunately I have to write a book on machine learning first. However, as soon as finish the book I'll do a whole series on Bayesian statistics.

    • @jonathanbernardo3833
      @jonathanbernardo3833 3 роки тому +3

      @@statquest double bam!! Looking forward for your book also

    • @LQNam
      @LQNam 3 роки тому

      @@statquest Reveal something about your book, please!

    • @statquest
      @statquest  3 роки тому +3

      @@LQNam I've got about 70 pages done, and in two weeks I'm going to work on it full time until it is done.

  • @sumailsumailov1572
    @sumailsumailov1572 3 роки тому +2

    My God, this is amazing content! Need more views!

  • @johnbarbuto5387
    @johnbarbuto5387 6 місяців тому +3

    I'm not a fan of the "bam" technique; but, in my opinion the explanation is actually clearer, and more easily connected to real-world examples, than other videos which seek to explain Bayes' Theorem. Thank you! (Liked and subscribed. Will be looking at other videos of StatQuest.).

    • @statquest
      @statquest  6 місяців тому +3

      Thank you, but brace yourself for a whole lot of bams! ;)

  • @badrinathsvn8634
    @badrinathsvn8634 3 роки тому +3

    Today on wards, I am going to be one of your virtual students through out my life...

    • @statquest
      @statquest  3 роки тому +2

      bam!

    • @tamuman93
      @tamuman93 3 роки тому

      @Badrinath SVN - I see what you did there. Clever ;)

  • @elliotyip9844
    @elliotyip9844 Рік тому +1

    Small bam? No. TRIPLE! Thank you for explaining the logic behind Bayesian statistics so clearly.

  • @sdsa007
    @sdsa007 Рік тому +1

    another brilliant insightful tutorial, perfectly memorable!

  • @nickfountain-jones5853
    @nickfountain-jones5853 3 роки тому +2

    This is a great intro to the topic!

  • @The_Bri_Cli
    @The_Bri_Cli 2 роки тому +6

    Hey Josh. This is a great video. You and Brandon Foltz should collaborate. Suggestion: A video applying Bayes Theorem to a continuous dataset would be very interesting.

    • @statquest
      @statquest  2 роки тому +3

      I hope to do a full series on Bayesian Statistics as soon as I can.

  • @brucekang6474
    @brucekang6474 3 роки тому +1

    I love you man. you saved my life.

  • @TheLivingFarmer
    @TheLivingFarmer 17 днів тому +2

    You earned a new subscriber!!!🎉🎉🎉🎉 Love your videos!
    Edit: Also you earned a new like!

  • @oliveros9
    @oliveros9 3 роки тому +2

    This is the best explanation on Bayes' Theorem ever!
    However, It is so difficult for me to use the kind of basic examples that ilustrates the theorem, for the particular task of analyzing differential gene expression between samples. There are available several "bayesian methods" to analyze gene expression changes and I can not understand the relationship of these methods with the theorem's formulation based on conditional probability.
    I am looking forward to see the upcoming videos on the subject. Would you please dedicate some of them to such practical applications of the Bayes' theorem?
    Thanks a lot!

    • @statquest
      @statquest  3 роки тому +4

      Yes, that's the whole idea of Bayesian Statistics and that is what I want to cover in the follow up videos. Unfortunately I have to write a book about Machine Learning first. However, as soon as that is done I'll make the videos about Bayesian Statistics.

  • @shillawolf4686
    @shillawolf4686 2 роки тому +1

    I have an exam tomorrow and there is a big chance this is comming back and i didn't completely get is so this really helped :D

    • @statquest
      @statquest  2 роки тому +1

      Hooray! Good luck with your exam! :)

    • @shillawolf4686
      @shillawolf4686 2 роки тому +1

      @@statquest Thank you sir, your videos were a great help to me and other students from my course ^^

    • @shillawolf4686
      @shillawolf4686 2 роки тому +1

      @@statquest Good news, i passed :D With a 6/10. There were a few questions in there about random forest and PCA etc, and i was able to clearly explain it thnx to your videos. I now have machine learning and your videos are agian a great help. You channel trully is a gold mine for people who need to learn statistics ^^

    • @statquest
      @statquest  2 роки тому +1

      @@shillawolf4686 Congratulations!!! Triple BAM!

  • @yiangseng
    @yiangseng 3 роки тому +1

    Unbelievably amazing. Thank you very much for making this channel.

  • @mikaelbergman2093
    @mikaelbergman2093 3 роки тому +8

    Josh, you need to make hoodies and T-Shirts with Statsquach on. It wold be wery funny!

    • @statquest
      @statquest  3 роки тому +3

      That's a great idea!!! YES!!!! If I do, I'll send you one. BAM! :)

    • @mn.v.3447
      @mn.v.3447 3 роки тому +1

      Duuuude, i want one

    • @nonamenoname1942
      @nonamenoname1942 3 роки тому

      Sorry, I prefer... TRIPLE BAM!!!

  • @jahndoe679
    @jahndoe679 3 роки тому +2

    what is this! this is the most clear explanation! thank you!

  • @GoddamnAxl
    @GoddamnAxl Рік тому

    I know this might be a new viewer thing, but BAM definitely makes bayes theorem more clear to me

  • @marvinbcn2
    @marvinbcn2 2 роки тому +2

    Excellent video as usual. May I make a wish: would it be possible that you made a video about bayesian vs. frequentist statistics? Every now and then I stumble about this antagonism, but explanations are often kept on a very abstract level. It would be great if you could give a case study which exposed the different (and incompatible?) conclusions these methodologies come to.

    • @statquest
      @statquest  2 роки тому

      Great suggestion! I hope to do it soon.

  • @EVERYTHIN_007
    @EVERYTHIN_007 2 роки тому +1

    You are a legend.❤️ from India

  • @charlesrambo7845
    @charlesrambo7845 3 роки тому +6

    I'm looking forward to more Bayesian statistics videos :-)

    • @statquest
      @statquest  3 роки тому +2

      Me too! Unfortunately I have to write a book on machine learning between now and then....

  • @spdrajiv
    @spdrajiv 3 місяці тому

    At 12:50, if both of the conditional probabilities refer to the same yellow area, why are they not equal?

    • @statquest
      @statquest  3 місяці тому

      The "left hand" sides of both conditional probabilities refer to the same yellow area, but the right hand sides refer to different areas. "doesn't love candy" refers to the 8 people that don't love candy and "loves soda" refers to the 7 people that love soda.

  • @brihatsharma3452
    @brihatsharma3452 2 роки тому +1

    Great explanation josh 👍👍

  • @JuanBretti
    @JuanBretti 3 роки тому +1

    Josh, as usual... Great explanation!

    • @statquest
      @statquest  3 роки тому +1

      Thank you very much! :)

  • @Emundadhu
    @Emundadhu 3 роки тому +3

    Bam is back

  • @ad2181
    @ad2181 2 роки тому +1

    Thanks for showing the omission in the equation.

  • @PhuongLe-gg4ge
    @PhuongLe-gg4ge 3 роки тому +1

    Easy to remember and understand. Thank you so much !!!

  • @elizabethelson1124
    @elizabethelson1124 2 роки тому +1

    Your explanation is easily understandable..thank u so much 👍👍👏👏😁

  • @mohammedfazalkhattal576
    @mohammedfazalkhattal576 3 роки тому +1

    Very good explanation Josh 👍

  • @baharehbehrooziasl9517
    @baharehbehrooziasl9517 4 місяці тому +1

    Thank you so much for another great video! I couldn't find another video from your channel in which you explain the theory's application. I believe I know it, but when it comes to application, I become very unsure.

    • @statquest
      @statquest  4 місяці тому

      Ultimately I'd like to do a whole series of videos on Bayesian methods, but it will still be some time before I can.

    • @baharehbehrooziasl9517
      @baharehbehrooziasl9517 3 місяці тому +1

      @@statquest Thank you so much for your response. Can't wait to watch them and get a better understanding of the topic.

  • @wolfywolfgang2498
    @wolfywolfgang2498 3 роки тому +2

    I needed this , hope you talk about natural language processing , I cant find any good resource

  • @Lemurai
    @Lemurai Рік тому +1

    Statsquatch 😂😂😂boy I have to take my hat off to this guys creativity.

  • @rjeption
    @rjeption 2 роки тому +1

    watching this before my stat final... wish me luck!

  • @nonameneeded7996
    @nonameneeded7996 Рік тому +1

    you are the best! now im going to BAM the subscribing button

  • @gtrdotone3735
    @gtrdotone3735 3 роки тому

    A box contains 2 fair coins and 1 biased coin. The biased coin has probability of a head as 2/3. A coin is drawn at random from the box and tossed. Then a second coin is drawn at random from the box (without replacing the first one). Given that the first coin has shown head, what is the conditional probability that the second coin is fair?
    How would you apply Bayes' rule to solve about problem?

    • @statquest
      @statquest  3 роки тому +1

      This sounds like a homework problem.

  • @nasrintaghavi6877
    @nasrintaghavi6877 Рік тому

    Thank you for your excellent videos. I just have a question about Bayesian Information Criteria. Using the equation BIC = -2*logL + log(numObservations)*numParameters, can BIC be negative? If yes, when comparing different models, should I choose the minimum value? For example, between -9 and -0.5 and +2, and +9 should I choose -9?
    Regards,
    Nasrin

    • @statquest
      @statquest  Рік тому

      That's a good question and I'll keep it in mind for when I cover BIC in a separate video.

    • @nasrintaghavi6877
      @nasrintaghavi6877 Рік тому +1

      @@statquest Thank you. The more I read on the internet, the more confused I get.

  • @teja_surya
    @teja_surya 3 роки тому +1

    Great explanation StatQuest 😃. Thanks Josh. Bam!

  • @ashleyibarra4927
    @ashleyibarra4927 3 роки тому +1

    I LOVE STATQUEST!!!!

  • @sherriwyatt
    @sherriwyatt 2 роки тому +1

    I LOVE this channel:) THANK YOU!

  • @sandeepsingh-ly9nh
    @sandeepsingh-ly9nh 3 роки тому +1

    Watching statsquest is like quench your thirst with glucose water. ✌️✌️

  • @laurelhiatt3398
    @laurelhiatt3398 3 роки тому +5

    Thank you for this and all of your many spectacular videos. I was wondering if you could do a StatQuickie or other such video on z-scores if you don't already have one available?

    • @statquest
      @statquest  3 роки тому +2

      I'll keep that in mind.

  • @joelduranB52441
    @joelduranB52441 2 роки тому +1

    Me encantan sus videos. Saludos desde Costa Rica!

  • @harziraaa
    @harziraaa 2 роки тому +1

    so so clear explanation! subscribed!!!!!

  • @hamman_samuel
    @hamman_samuel 3 роки тому +2

    Waiting for those StatSquatch t-shirts 😁

    • @statquest
      @statquest  3 роки тому

      They are in the works!!!!

  • @Mars7822
    @Mars7822 2 роки тому +1

    Brilliant as always.....

  • @dlsgaming18
    @dlsgaming18 Рік тому +1

    Dude how do you do this? You save my nearly 50 hour of time.

  • @chadx8269
    @chadx8269 3 роки тому

    Excellent. Thank for clearing up the P(A!B) should be P(A&B!B). This has confused me for years. I would drop in "given" and replace it with "in". P(A!B) becomes P of getting an A in the domain B.

  • @eddpalenciavanegas6739
    @eddpalenciavanegas6739 2 роки тому +1

    I watch your videos just for the fun of it hahaha.... Awesome content!

  • @diato2993
    @diato2993 Рік тому

    Thanks for the brilliant Video! It really helps me a lot. :)
    Besides, I have a question.
    As far as I understand, this Video explains about that Posterior Probability is closed to Likelihood X Prior Probability.
    Well I am reading a Paper about VQ-VAE and the author has written on the paper
    "the prior is learned rather than static", which I assume that is about prior distribution.
    I want to know if there's any difference between prior distribution and prior probability. Or are they the same?
    Or am I missing something important?

    • @statquest
      @statquest  Рік тому

      The prior probability comes from the prior distribution.

  • @Xenoni
    @Xenoni 3 роки тому +1

    Hi Josh.. could you please make a video about sensitivity analysis and it’s uses in non financial settings …
    I really appreciate what you do..

    • @statquest
      @statquest  3 роки тому +1

      How about this? ua-cam.com/video/vP06aMoz4v8/v-deo.html

    • @Xenoni
      @Xenoni 3 роки тому

      @@statquest so what's this guy talking about ?
      ua-cam.com/video/o6-HCOG1Cp4/v-deo.html
      The term "Sensitivity Analysis" has been thrown around by our statisticians a lot ! need to know what they are up to !!