1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Heads occurs 15 times out of 20 - Is it a fair coin?

  1. Feb 24, 2008 #1
    1. The problem statement, all variables and given/known data

    I have to answer this question by using references to expectation and probability as well as any other relevant considerations. My textbook says that 96% of the time, the number of heads in 20 flips will be between 6 and 14 inclusive. How do I prove this?
  2. jcsd
  3. Feb 24, 2008 #2
    Do you know about the standard deviation?
  4. Feb 25, 2008 #3


    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Even if you answer this, it won't tell you the answer to the question in the thread title. Are you sure you gave us all the information?

    Anyway, if you want to prove that 96% figure, you have to add up the probabilities for "exactly 6", "exactly 7" and so on. Do you know how to calculate those?
  5. Feb 25, 2008 #4
    A fair coin is one which gives 50% heads and 50% tale when tossed for infinite number of times.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Heads occurs 15 times out of 20 - Is it a fair coin?