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  • i love the Doctor Who reference

  • I'm a beautiful snowflake so everything else is pretty much forgotten

  • So, I turned on closed captioning. It said I don't know what happened to your coin was "I don't know what happened to your colon" I am dying.

  • Procrastinating Statistics homework by watching vlogbrothers and hankgames videos, and stumbled on this. Thanks for steering me back to what I SHOULD be doing today.

  • I want you to be my math teacher.

  • 6:28 it should be 48%, not 32%.

  • my coin landed on its side

  • So many people have spoken so highly of you guys and it hasn't been until now that I have really seen why you guys are of awesome.

  • I wish I had this when I was in secondary school. I was terrible at probability. And maths in generally. Now I'm an engineer. Teachers make all the difference

  • This amazing I stumbled on this vid. I'm studying this now in school, and was having a hard time grasping the concept, but you explained it so well now I get it. I can do my homework now. Thanks Hank!

  • If you can die by overdose of antidote pills, your chance of surviving isn't the chance of getting at least 1 pill, it's the chance of getting at least 1 pill but not enough pills to kill you.

    Also the last half of this video (converting P or Q to not(not P and not Q) is just de Morgan's law, which is more commonly used in first order logic.

  • my head hurts

  • but if you OD on too many antidote pills, what if you get 3 of the antidote pills, or 2 antidote pills and something else?? that's more on the odds not to survive that you didn't include... just saying

  • oh god... talk about mental rape!

  • Moron wednesday!

  • a sharpshooter could reload all six chambers in under a minute AND be able to kill the velociraptor before it killed him.... :l

  • im going for the tardis

  • unless the coin has 2 head sides :p

  • AP English: Literature has fried my brain. Proof? All through watching this video, I kept thinking about "Rosencrantz & Guildenstern Are Dead" and giggling.

    Who DOES that?

  • For the final word problem, why bother with 5/6*4/5*3/4*2/3? There is one bullet in one of six chambers. In four shots, there is a 4/6 chance you fire a bullet and a 2/6 chance of not firing a bullet.

  • why didn't i watch this before my maths GCSE exam?!

  • Too funny...if you multiply them together you get 48%...= 32% graphic as he says it. heh

  • what if the coin lands on the edge?

  • I really used to have a high opinion about your scientific mind, but @2:00 all of the credibility you once had fell crashing to the ground :P

    for real now, i love your videos and your approach to explaining complex things in a simple manned, the trait i lack badly.. :)

  • I got 5 heads and 5 tails. Granted, I had to flip more than 10 times because dimes are very hard to flip.

  • I got 5 heads and 5 tails...

  • 4 heads, 6 tails

  • 5 Heads 5 Tails :)

  • I like to call Hank "Math" and John "Science"

  • A coin could land on its side too......

  • why do you have lip balm still in its packet on the shelf?

  • Tails.....

  • Heads, tails, heads, tails, heads, tails...what the? Tails. Oh, okay, we're good.

  • this vid helped me with my CMTs (state test) thanks hank also i was absent the whole time we were learning probiblity and this test is insanely important SO THANKS HANK

  • Your notation at 2:51 bugs me. It reads 1 raised to the power of 10, and then divided by 2 (thus .5). You need parantheses around the fraction.

  • DUDE I flipped my coin 10 times 5 landed on heads and 5 on tails. lol

  • I did he use a penny to upset John? I think so

  • I see The Girl with the Dragon Tattoo in the background!

  • Awesome

  • nice

    

  • 20% chance you'll survive. Unless you manage to hop in your tardis. :]

  • Dr. Manhatten and his big blue w@ng hanging out.......akward

  • I have no colon

  • This man is wearing a wedding ring. How the hell is he married?!

  • Trick question.

    Velociraptors are small, so no. It wouldn't be a problem.

    /pistol whips the dinosaur

  • 6:26 80% times 60% is what?! 32% or 48%?!?! Do I listen to him, or take the image for fact?!?

  • @MrFromUSA The correct answer is 48%

  • Fun Fact: the word percent is derived from the french words for "of onehundred" or par cent

  • @NEUHOUSER1 You mean 'Pourcent'. 'Pour' means 'for', 'cent' means one hundred (hence the penny, which is one hundredth of a dollar, being a CENT.)

  • Just down the whole bottle. Problem Solved.

  • you are a beautiful snowflake!

  • Sat at work on one very boring Sunday and flipped a quarter 200 times onto heads in a row. Why? because a coin flip is not random and is in fact physics, I can flip a coin in the exact same way (same angle, same rotational energy, same height, etc..) and the environment was also controlled to same temp, no wind, etc.. Randomness did not come into it.

  • Umm if your bringing in superheros somebody like lets say Peter Parker could tell which side it was going to land on because of supernaturally fast brain and reaction times

  • What about venomous terrorists and ninja piranhas?

  • What if you roll D and D dice?

  • My Maths teacher taught us this. I didn't understand it so I knew you'd have a video on it and came looking for it.

    I'm glad I did.

  • Comment removed

  • the video didn't talk about independence at all (events or random variables)! this video is kinda misleading to talk about the multiplicative property and not mention that for it to apply the events must be independent. also central limit theorem sorry i'm nerd gushing

  • Learning about probability in math recently (in 2012) and used what I learned from this to ACE THE TEST my ass teacher gave us without showing how to combine probabilities.

    ALSO: When i first watched this video I had no idea what a TARDIS was. Now I know, and It makes me SO HAPPY! THANK YOU HANK!

  • 5 and 5

  • pennies are more likely to land on heads because the heads side is somewhat heavier

  • @mayrin1112 WRONG!!! if the heads side is heavier it will fall faster leaving the tails side facing up

  • @schnitzeltruck1 Actually weight doesn't change how fast something falls. See Galileo's famous experiment in which he dropped weights from the famous bell tower at Pisa.

  • @RockinTheBassGuitar thank you and the experiment was very interesting!

  • There seems to be a bit of a confusion here in the comments about what the word "Odds" actually mean. I study statistics, so I thought that I'd try to clear up some of the confusion.

    Odds are defined in the following way: "The probability of an event happening divided by the probability of the event NOT happening". In this case the odds would be: (1/1024) / (1023/1024) = 1/1023 which is about 0.00098.

  • Unless you manage to get back in your TARDIS.

  • Objection! Dr Manhattan sees all. No mere coin can outfox him!

  • 2:54 No, it doesn't equal 1/1024, it equals 1/2 because you forgot to use parenthesis, there are grammar nazis in math too :)

  • @canecky I doubt that flipping a coin 10 times and having it land on heads all 10 times will happen 1 out of every 2 trys

  • @alex93091 You appear to have misunderstood; he means that the way it was written on the screen was incorrect. The notation used in the video was unclear, in that it could easily be misinterpreted as stating that (and seemingly implied) the idea of the fraction being (1^10)/2, as opposed to the actual fraction which is (1/2)^10. The latter is equal to 1/1024, while the former is simply equal to 1/2, because 1^10=1 and 2^10=1024.

  • @wreynolds1995 Well thanks. And I understood him. Him comment was a bit incomplete. You don't have to write parenthesis around fraction ALL the time, Plus, when you are making a video you might be a bit preocupied with other things.

  • @alex93091 We all understood what he meant; the person you were responding to was pointing it out just to be pedantic, hence why he tagged on the notion of there being "grammar nazis in math". Technically, you kind of do have to put the parenthesis around fractions when you're raising them to a power; there are few other ways of being clear about that sort of thing, and clarity is usually everything when you write something. You might be preoccupied with other things, but once again, pedantry.

  • Unless of course there happens to be a TARDIS near by, then you're fine.

  • You just taught me more than I've learned in two months of school. Thank you, Hank.

  • You have taught me more in this video about prob than my entire stats class last semester. I still did pass though. Lol

  • omg, i thought i was smart

  • Question: If you believe that the universe is endless, then could you say that there is another earth out there, with another Hank and John and me and everyone else on it? The odds are very very very very very very very very very slim, but if its endless shouldn't it be possible?

  • 5 tails 5 heads

  • if you specialize in applied probability, or you're just really good at throwing stuff, like me, you will know there are ways to get the coin to land on one side more often, such as similar throws with the same arc, rotation speed, and beginning throw side direction, also, you are much more likely to roll a certain number if you weight or round out one side of the dice, which is, of course cheating, so, probability can be manipulated, but not very effectively.

  • i got 6-tails and 4-heads

  • ummmmmmmmmmmmm

  • no lie, my coin landed on its side and stayed

  • @DejoMasters NO! WHAT HAVE YOU DONE!!! YOUVE KILLED US ALLLLL *melts*

  • @DejoMasters I feel like you mean't 'edge' instead of side...

  • @ScienceofWinning Anyone who says the word 'edge' around Hank, in any context, is going to seriously regret it...

  • I got 9 heads and 1 tails

  • I AM A BEAUTIFUL SNOWFLAKE!! :D yesss !! :)

  • i flipped and it landed on its side

    HOW THIS FOR YER FRIGGIN SCIENCE?!?!?!

  • This video helped me so much for my statistics test :)

  • actually, its 50.01% chance of heads and 49.99% chance of tails (when a British 2p coin is used) because there is slightly more metal on the side of heads and therefore changed the center of gravity giving it a slight bias.

  • wow. this just actually helped me do my math homework. Thank You nerdfighters!

  • A real coin has 3 chances to it heads tails and edge the edge is a very low possibility but it is there

  • I got my math teacher to watch this just before learning about it.

  • Wow this is actually really useful! Thanks!

  • I'm trying to convince my mom to show this video in her math class. :)

  • answer to last word problem: 100 percent i grab the other five bullets in my pocket (and assuming that this is a .44 magnum) the dinosaur dies from its wounds boom

  • i think these are the best word problems of all time

  • at 5 minutes it started to help me with my a-level maths stats unit :) thank you :P

  • I heard that a coin is slightly more likely to land on heads because the tails side is slightly heavier...

  • ok its 4:00a.m. i need to sleep and this is starting to hurt my brain

  • you said 48% probability on dying, displayed 32% on your video, and the actual %age is: 48%, so thats kind of confusing, and I think you did it again on your chemestry/biochemestry post when you were discussing 8 octets being needed. I like your stuff, but polish things up a bit, yannoh?

  • @T0BY1KAN0BI you suck

  • I've been learning this in school for years, over and over again, and I understand it perfectly, but never has it been as interesting as you made it. How do you teach me things I already know and make me watch the whole video anyway? You should be a teacher.

  • We studied this last semester. blekhh

  • you lost me, but i promise i'll come back and watch this video in the morning, i live in Australia and its midnight so all of that was blah blah blah. but i promise i'll be back. :)

  • Actually it's not too hard to figure out the number of possible poker hands: for your 1st card there are 52 choices: any card in the deck. Then with that one taken away, you have 51 choices for your 2nd card. Then 50 choices for #3, 49 for #4, and 48 for #5. Multiply those together. That's the number of possibilities if order matters, eg: 1,2,5,A,J is different from 2,5,A,1,J. To get rid of the repeats, divide your answer by (5x4x3x2x1). Or just go into your calculator and type 52 nCr 5

  • My dice have 20 sides though.

  • My head just exploded

  • im sorry but the firs tthing i noticed was "The Girl With The Dragon Tattoo" sitting on his bookshelf right behind him and ahd a mini freak out. kaynowimagoflipacoin. lmfao

  • dr. manhattan can see all time simultaneously, it is not pre-determined because he only experiences his surroundings so anybody else can do stuff in that space... anyway point being dr. manhattan could definitely see how that coin was going to land if he was with you as you flipped it

  • 2 heads, 8 tails 

  • I thought Doctor Manhattan could see the future?

  • I'm an abstinent non-smoker who is allied with the ninjas and owns a Tardis.

    Oh yeah! Gonna live forever!

  • Odds of Hank gesticulating in a video: 1.

  • I got 50/50 lol

  • Apart from it's proven a coin is more likely to land on heads as the markings make it heavier on one side. I think, for once, you are wrong Hank Green. You got something wrong.

  • But isn't a coin heavier on the heads side since the heads are bigger than a state or building on the tails side

  • Why did I not know about this video during my business statistics class?

  • yahh middle school math :D i still remember!!

  • I've learned more from this video than I ever did when I was in high school.

  • I am not confident that I am a beautiful snowflake, Hank. Work on your tone. You seemed a wee bit sarcastic.

  • Umm Hank, I feel compelled to tell you as a D&D nerdfighter, that rolling a die is not always a one in six ordeal. There are dice whos sides range from one to four, all the way to one to one hundred.

  • So on the last one I simply took the 30% chance that it would stop along with the 1 in 6 chances that you would hit it, that is a 5% chance, BUT! You get to pull the trigger 4 times, thus upping your chance to 20%, somehow this worked, and I figured it out in my head before you finished explaining it... I love it when my brain does awesome things.

  • Aaaugh, Hank, (1/2)^10=1/1024, not 1^10/2.

  • I got six heads and four tails. What did you guys get?

  • I learned more about probability in this video than I did in my university class on it...

  • @DreamfallenOne That's a little sad. Especially considering that this video is just basic probability. He barely scratches the surface of Boolean arithmetic let alone touching statistics. I know you were probably kidding, but still.

  • For the last word problem, what if you miss the shot?

  • I feel bad that I didn't flip a coin.

  • i thought tardis actually stood for tardigrades in space...

  • After working on calc for a few hours, something I dreaded in elementary school doesn't seem so scary (damned fractions).

  • So, in a large enough quantity, is there true randomness or chaos within any situation?

  • "i watch you as you watch me!"

    Females everywere now get changed in the bathroom

  • My math teacher showed us this video and it helped me so much. You are Prussia Aproved awesome Hank. :D

  • I wish you were my teacher....can you make more (complicated) math videos?

  • a 1 in 6. hank i have a D 100

  • I lost it at "terrorist velociraptor."

  • Buuuutttt..... you don't take into account the likelihood of overdosing and dying that way!!! :( :( :(

    

  • Found this video just in time to study for Stats midterm. Fuck yeah good timing!

  • I actually flipped a coin once, and it landed on it's side on the ground. I'm serious. It didn't stay still, it rolled a lot, but it happened. But this time, 5 heads, 5 tails. My life is weird.

  • I did A level statistics. I find this stuff fun. What. A. Loser.

  • This is how I study for my maths test!

  • 8 heads 2 tails

    and the tails were on 4 and 8 which i think is funny

  • When you started to speak math you lost me

  • 4:28 GOT THEM THE WRONG WAAAAY.

  • ehh last one is wrong cos you forgot to account for the chance of getting a bullet onn the first time you pulled the trigger or the second or the third

  • Comment removed

  • Tree diagrams. That is all.

  • My coin has two heads.

    

  • for those who like probability and maths check out the youtube channel: singingbanana

  • HHHHHHHHTH

  • "You're a beautiful snowflake"

    I died XDXD

  • You feeling lucky terrorist killer velociraptor punk?

  • I'm so glad I found this video! My teacher is crap at teaching so he confused what I already knew and I ended up failing his exam. Twice. I have to do it again in August!

  • Why can't school have word problems like this? IT WOULD MAKE MATH SO MUCH BETTER!!!!

  • Um, I gotta be honest. I had way more fun with the head-chopping of France. ):

    HANK, EVEN YOU CANNOT BREACH MY HATRED OF MATH. It just...can't happen. I watched it all the way through, though. So it might have gone in my head a little. I hope.

  • I could have totally used this last June when reviewing for my Applied Math exam. I mean, I did well on this unit anyways, but Hank just makes it more interesting. (With all due respect to my math teacher of course. He was totally jokes. But who wouldn't want Hank teaching them about probability?)

  • that was funny. my teacher wouldnt let me watch it at school.

  • I love how no matter who it is on the internet that is making the video when albert einstein's picture is edited in it's always the one with his tounge out.

  • He's read my "Math Makes Sense" text book!

    (P.S. They do not enable math to make sense)

  • When being attacked by terrorist dinosaurs, the safest thing to do is not get out of the TARDIS.

  • @AliceTheMundane Also, The Doctor hates guns, and unless The Master gets another TARDIS, that makes this a very improbable situation...

  • I was attacked by a terrorist velociraptor just the other week. After this video I knew my survival rate was small, but I did it. I am the 20%!

  • I was supposed to have my Math final exam today, but we had a snow day. Ahahaha.

    And now I find myself on here, reviewing statistics basics.

  • But if you took the three pills, wouldn't you also get poison dart antidote overdose?

  • my teacher showed us this in 5th period advanced math for a reward,she left the room and left the video playing,lets just say she didn't watch the full video first. ;)

  • Please replace my Math&stat teacher....

  • thanks for helping me study for my AP stats final tomorrow! :P

  • Wow, it's been a couple of years since I did this. And i was probably the only person in my entire class that actually liked word problems. Especially ones involving parabolas. I really liked those.