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 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
      ronno over 8 years
      Why do you think either of those two numbers is the answer?
    • Shailesh
      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
      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
      Shailesh over 8 years
      every toss resulting in heads o
    • Frenzy Li
      Frenzy Li over 5 years
  • Don Larynx
    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
    Shailesh over 8 years
    Yes i think u r right
  • ronno
    ronno over 8 years
    @DonLarynx, actually, it does, see OP's comments to the question.
  • Don Larynx
    Don Larynx over 8 years
    Ah okay. My apologies.
  • MPW
    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.