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A class has 3 Teaching Assistants (TAs). Each TA tosses a coin 10 times. Find the chance that at least one of the TAs gets exactly 5 heads.
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 one year ago
 one year ago
A class has 3 Teaching Assistants (TAs). Each TA tosses a coin 10 times. Find the chance that at least one of the TAs gets exactly 5 heads. unanswered
 one year ago
 one year ago

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dan815Best ResponseYou've already chosen the best response.0
or in other words what is the probability when no TA gets 5 heads
 one year ago

dan815Best ResponseYou've already chosen the best response.0
@FibonacciChick666 help us with this
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
k so lets make a chart with the outcomes
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
strike that cause it will take forever ok what is the probability that 1 TA will get exactly 5 heads?
 one year ago

dan815Best ResponseYou've already chosen the best response.0
im thinking its like this for 1 TA
 one year ago

dan815Best ResponseYou've already chosen the best response.0
i dunno im kinda confused about this whole thing
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
hmm let me think.... ughh I'm so annoyed we did this in 6th grade why can't I remember...
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
at least not all 3 duh ok
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
ok so you would think that it would be more likely right
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
but coins are weird because the prob for hhhhhh= prob for tthhtt
 one year ago

dan815Best ResponseYou've already chosen the best response.0
for 1 TA getting 5 heads
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
i'm thinking \[the~probability~for~1~TA~is~ (\frac{1}{2})^5\]because they have to be in a row
 one year ago

dan815Best ResponseYou've already chosen the best response.0
but it says they just need to get 5 outta 10
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
oh shoot hmm well that would be one half to the 10th that tells us the total combinations
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
then we take out anything that has more than 4 tails
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
but we need permutations don't we
 one year ago

dan815Best ResponseYou've already chosen the best response.0
i think u are right (1/2)^5 for 1 TA
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
if that is right then if we cubed it that would be for all three to get it but if we added them that would be for 1 right?
 one year ago

dan815Best ResponseYou've already chosen the best response.0
that (1/2)^5 * 3 for 1 of the 3 having 5 heads gotta add the probability of 2 of them getting 5 heads and 3 getting 5 heads so + [(1/2^5)^2] *3 + [(1/2^5)^3]
 one year ago

dan815Best ResponseYou've already chosen the best response.0
yeah all probability gotta equal 1
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
can't equal one
 one year ago

dan815Best ResponseYou've already chosen the best response.0
im not sure though if the probability shud be 1/2^5
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
neither am I let me call in @hero
 one year ago

dan815Best ResponseYou've already chosen the best response.0
does that look right for a dice if that is right then i guess u can just use that way for the coin too
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
ok... hmm that looks right but i'm just not sure it's been so long since i've taken prob and stats
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
you need to learn to write in LaTex...
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
http://openstudy.com/study#/groups/LaTeX%20Practicing!%20%3A) you can learn it here
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
but pretty much \[you~write~like~this~for~math~stuff~~~~~~~~~~[\frac{1}{2}]^5\\]
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
\[you~write~like~this~for~math~stuff~~~~~~~~~~[\frac{1}{2}]^5\]
 one year ago

dan815Best ResponseYou've already chosen the best response.0
do you just type that out or use Equation button down there
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
it is a free program for writing in math
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
but that is the same as using the eq button down there
 one year ago

dan815Best ResponseYou've already chosen the best response.0
hbey I THINK I GOT IT NOW
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
the answer cant be one...
 one year ago

dan815Best ResponseYou've already chosen the best response.0
no mean 1  whatever that is equal to is our answer
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
ohhhhh uhm maybe i honestly stopped thinking about it
 one year ago

dan815Best ResponseYou've already chosen the best response.0
i think iam addicted to these questions, i cant stop till i solve when someone asks these questions lol its gonna bug me for ever
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
i know but it's 3 am here...
 one year ago

dan815Best ResponseYou've already chosen the best response.0
so are u on summer vacaation yet
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
yep :) for 2 weeks then summer classes you?
 one year ago

dan815Best ResponseYou've already chosen the best response.0
nice, i got time till summer classes, my summer classes is in 2nd term of summer dunno when that is
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
lucky i have like 28 credits over the summer :/
 one year ago

dan815Best ResponseYou've already chosen the best response.0
wow u took way too much in summer lol
 one year ago

dan815Best ResponseYou've already chosen the best response.0
how are u gonna keep up! is ur summer term as long as the regular term
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
uhm kind of.... i'm not sure though cause i also work like 35 hours a week
 one year ago

dan815Best ResponseYou've already chosen the best response.0
i dont think id be able to do it, unless its like all electives
 one year ago

dan815Best ResponseYou've already chosen the best response.0
even then its gotta be some super easy BS on exam electives
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
i have PDE, single variable calc proofs, a linguistics intro course, an art class, cog. psych, and more that i forget lol
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
ohhh yea should be fun
 one year ago

dan815Best ResponseYou've already chosen the best response.0
we did some PDE toward the end of this year but i dont think its like indepth as ur PDE class
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
yep haha and in the fall i have abstract algebra, ODE, topology or something (math elective) ASL 3 uhmmmand something else haha
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
and prob not this class is going to suck massively
 one year ago

dan815Best ResponseYou've already chosen the best response.0
its gonna be like that Heat equation wave equation and laplace right then using fourier series to solve?
 one year ago

dan815Best ResponseYou've already chosen the best response.0
thats as far as we got, just doing simple boundary value problems with that
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
... were you following me on here tonight? lol
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
i just answered a PDE on here earlier lol
 one year ago

dan815Best ResponseYou've already chosen the best response.0
i just had to cram all that stuff for my exam a couple days ago T_T
 one year ago

dan815Best ResponseYou've already chosen the best response.0
it was a feather trying to learn fourier series and PDE in 2 days, I was actually gonna give up on the exam.. i went to my mom and was like NO MORE!! I WILL take this in summer
 one year ago

dan815Best ResponseYou've already chosen the best response.0
but she gave me this huge LECTURE ON stick it out, just believe GOD
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
I had linear algebra personally but that sounds dreadful which class?
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
...math gods?
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
I know I usually pray to bolzano or laplace hbu? haha
 one year ago

dan815Best ResponseYou've already chosen the best response.0
lmao, just Jesus for me :)
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
ok if that works for ya haha
 one year ago

dan815Best ResponseYou've already chosen the best response.0
it dooess!! we seen too much to not believe in god
 one year ago

dan815Best ResponseYou've already chosen the best response.0
i actually used to be a drug addict and stuff, till I heard God, and my addictions everything even coffee addiction i dunno how lol, just went away over night
 one year ago

dan815Best ResponseYou've already chosen the best response.0
like my addictions were really really bad, i cudnt control it i cudnt get throught out a day if i wasnt high, not even 5  10 mins xD
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
thats cool for you and i'm happy you are no longer an addict
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
i am still a firm believer in skepticism however
 one year ago

dan815Best ResponseYou've already chosen the best response.0
haha thats fine, i wud have never believed it till it finally happened to me
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
I was raised wayyyy too catholic, then I started thinking on my own and yep. that is how i am where i am now
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
but oh well, differences aside i think i'm heading to sleep/work so i'll talk to ya again soon and I'll answer this later today when I've slept a little haha
 one year ago

dan815Best ResponseYou've already chosen the best response.0
okay good night sleep well :)
 one year ago

FibonacciChick666Best ResponseYou've already chosen the best response.0
Night! and you too!
 one year ago

dan815Best ResponseYou've already chosen the best response.0
saying good night is a very touchy time i feel
 one year ago

NadiaKamalBest ResponseYou've already chosen the best response.2
HEY THIS IS THE RIGHT ANSWER
 one year ago

NadiaKamalBest ResponseYou've already chosen the best response.2
he probability of getting 5 heads in 10 tosses =10C5(1/2^5)(1/2^5)=252/1024=0.2461.SIMILARLY the probability of not getting five heads=10.2461=0.7539. now the probability of three students not getting 5 heads =(0.7539)^3=0.4285 so at last the probability of atleast one student get exactly five heads =10.4285 which is 0.5715
 one year ago

dan815Best ResponseYou've already chosen the best response.0
that is the probability for 1 TA getting 5 outta 10 flips as heads so for atleast 1, or otherwise, inpreted as when none of the TAs get 5 outta 10 = 1(10 choose 5/2^10) ^3= prob of all 3 TA not getting 5 in a row so 1 prob of all 3 TA not getting 5 in a row = answer
 one year ago
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