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
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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

Comments

  • Shailesh
    Shailesh over 1 year

    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
      ronno almost 10 years
      Why do you think either of those two numbers is the answer?
    • Shailesh
      Shailesh almost 10 years
      Okay ..Actually i have 3 options in test paper .last 1 was none of them .Can u solve the query
    • ronno
      ronno almost 10 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
      Shailesh almost 10 years
      every toss resulting in heads o
    • Frenzy Li
      Frenzy Li over 6 years
  • Don Larynx
    Don Larynx almost 10 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
    Shailesh almost 10 years
    Yes i think u r right
  • ronno
    ronno almost 10 years
    @DonLarynx, actually, it does, see OP's comments to the question.
  • Don Larynx
    Don Larynx almost 10 years
    Ah okay. My apologies.
  • MPW
    MPW almost 10 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.