# Probability of every coin displaying HEAD if a coin is tossed 12 times

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## 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 J-QUERY .I have more than 4year experience in c#,ASP.net,Sitecore ,Ajax J-QUERY and WCF.I also have worked on Google CDN,Memchached API,memcached, DevExpress and Kendo Grid .

Updated on July 29, 2022

• 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 years
Why do you think either of those two numbers is the answer?
• Shailesh over 8 years
Okay ..Actually i have 3 options in test paper .last 1 was none of them .Can u solve the query
• ronno over 8 years
In 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 years
every toss resulting in heads o
• Frenzy Li over 5 years
• Don Larynx over 8 years
This 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 years
Yes i think u r right
• ronno over 8 years
@DonLarynx, actually, it does, see OP's comments to the question.
• Don Larynx over 8 years
Ah okay. My apologies.
• MPW over 8 years
And 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.