Probability of every coin displaying HEAD if a coin is tossed 12 times
1,291
Solution 1
Hint: What is the probability of one toss resulting in heads? How do you compute the probability of success in two independent events? How about twelve?
Solution 2
Hint: The propbability of $n$ independant events each having probability $p$ occuring is $p^n$.
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Shailesh
I love to code in C#.ASP.net and JQUERY .I have more than 4year experience in c#,ASP.net,Sitecore ,Ajax JQUERY and WCF.I also have worked on Google CDN,Memchached API,memcached, DevExpress and Kendo Grid .
Updated on July 29, 2022Comments

Shailesh less than a minute
What is the probability of every coin displaying HEAD if a coin is tossed 12 times. Is it $\frac{1}{12}$ or $\frac{1}{1024}$?

ronno over 8 yearsWhy do you think either of those two numbers is the answer?

Shailesh over 8 yearsOkay ..Actually i have 3 options in test paper .last 1 was none of them .Can u solve the query

ronno over 8 yearsIn any case, do you want the probability of every toss resulting in heads or at least one toss resulting in heads, or something in between?

Shailesh over 8 yearsevery toss resulting in heads o

Frenzy Li over 5 yearsPossible duplicate of If a coin tossed for 3 times what is the probability of getting all tails?


Don Larynx over 8 yearsThis doesn't answer OP's question. The probability of 1 head appearing in 12 tosses is certainly not $\frac{1}{2^{12}}$.

Shailesh over 8 yearsYes i think u r right

ronno over 8 years@DonLarynx, actually, it does, see OP's comments to the question.

Don Larynx over 8 yearsAh okay. My apologies.

MPW over 8 yearsAnd so the probability of any specified sequence of outcomes in tossing a fair coin 12 times is $1/2^{12}$. Nothing special about all HEADS.