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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. unanswered

Statistics
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or in other words what is the probability when no TA gets 5 heads
@FibonacciChick666 help us with this
k so lets make a chart with the outcomes

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Other answers:

strike that cause it will take forever ok what is the probability that 1 TA will get exactly 5 heads?
im thinking its like this for 1 TA
i dunno im kinda confused about this whole thing
hmm let me think.... ughh I'm so annoyed we did this in 6th grade why can't I remember...
at least not all 3 duh ok
ok so you would think that it would be more likely right
hmm
but coins are weird because the prob for hhhhhh= prob for tthhtt
is itt like this
for 1 TA getting 5 heads
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i'm thinking \[the~probability~for~1~TA~is~ (\frac{1}{2})^5\]because they have to be in a row
but it says they just need to get 5 outta 10
oh shoot hmm well that would be one half to the 10th that tells us the total combinations
then we take out anything that has more than 4 tails
5*
but we need permutations don't we
i think u are right (1/2)^5 for 1 TA
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?
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]
yeah all probability gotta equal 1
can't equal one
im not sure though if the probability shud be 1/2^5
neither am I let me call in @hero
does that look right for a dice if that is right then i guess u can just use that way for the coin too
ok... hmm that looks right but i'm just not sure it's been so long since i've taken prob and stats
you need to learn to write in LaTex...
what is that
but pretty much \[you~write~like~this~for~math~stuff~~~~~~~~~~[\frac{1}{2}]^5\\]
\[you~write~like~this~for~math~stuff~~~~~~~~~~[\frac{1}{2}]^5\]
do you just type that out or use Equation button down there
type it out
o wow lol
it is a free program for writing in math
but that is the same as using the eq button down there
hbey I THINK I GOT IT NOW
sweet
|dw:1367219586841:dw|
the answer cant be one...
|dw:1367219732506:dw|
no mean 1 - whatever that is equal to is our answer
ohhhhh uhm maybe i honestly stopped thinking about it
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
i know but it's 3 am here...
so are u on summer vacaation yet
yep :) for 2 weeks then summer classes you?
nice, i got time till summer classes, my summer classes is in 2nd term of summer dunno when that is
lucky i have like 28 credits over the summer :/
wow u took way too much in summer lol
how are u gonna keep up! is ur summer term as long as the regular term
uhm kind of.... i'm not sure though cause i also work like 35 hours a week
i dont think id be able to do it, unless its like all electives
even then its gotta be some super easy BS on exam electives
i have PDE, single variable calc proofs, a linguistics intro course, an art class, cog. psych, and more that i forget lol
oo PDE :)
MATH MAJOR
ohhh yea should be fun
we did some PDE toward the end of this year but i dont think its like indepth as ur PDE class
yep haha and in the fall i have abstract algebra, ODE, topology or something (math elective) ASL 3 uhmmmand something else haha
and prob not this class is going to suck massively
its gonna be like that Heat equation wave equation and laplace right then using fourier series to solve?
thats as far as we got, just doing simple boundary value problems with that
... were you following me on here tonight? lol
whaatt do u mean
i just answered a PDE on here earlier lol
oh haha
i just had to cram all that stuff for my exam a couple days ago T_T
yucky
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
but she gave me this huge LECTURE ON stick it out, just believe GOD
I had linear algebra personally but that sounds dreadful which class?
...math gods?
lol
I know I usually pray to bolzano or laplace hbu? haha
lmao, just Jesus for me :)
ok if that works for ya haha
it dooess!! we seen too much to not believe in god
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
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
thats cool for you and i'm happy you are no longer an addict
yep :)
i am still a firm believer in skepticism however
haha thats fine, i wud have never believed it till it finally happened to me
I was raised wayyyy too catholic, then I started thinking on my own and yep. that is how i am where i am now
thats cool
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
okay good night sleep well :)
Night! and you too!
love you lol..
saying good night is a very touchy time i feel
HEY THIS IS THE RIGHT ANSWER
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=1-0.2461=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 =1-0.4285 which is 0.5715
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|dw:1367222963861:dw|
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
THX
BOTH NADIA AND DAN THX
YW:)

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