Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ParthKohli

  • 2 years ago

If 100 coins are tossed, what is the probability that exactly 50 heads will be showing?

  • This Question is Closed
  1. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Is this as simple as saying "1/2"?

  2. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Since I found this from the 50 Hard Probability Problems webpage(http://www.delphiforfun.org/Programs/Math_Topics/FiftyProbabilityProblems.htm), I think there is something tricky going on there.

  3. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    Binomial Probability?

  4. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    I am not sure.

  5. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    100C50 * (1/2)^{50} * (1/2)^{50}

  6. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Hmm, but could you possibly explain that a little?

  7. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    \[\tbinom{100}{50} *\left(\frac{1}{2}\right)^{50}*\left(\frac{1}{2}\right)^{50} = 0.0796\] \(p=q= \frac{1}{2}\) This is a particular case of probability of binomial probability when probabilities \(p\) and \(q\) of successes and failure are both \(\frac{1}{2}\)

  8. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You have to get 50 heads and 50 tails the probability of that is \[ \frac 1 {2^{50}}\frac 1 {2^{50}} \] There are \[ 100C50 \] such possiblities

  9. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh, yes! How could I forget combinations?!

  10. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    The answer is about .08

  11. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    woops..but am i wrong?

  12. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Now I really feel silly.

  13. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you @eliassaab @Mimi_x3 Mimi, I might not be a qualified person to judge that. :p

  14. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    yw

  15. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    @eliassaab: I have a question..I don't think I'm wrong..this looks like Binomial Probability..

  16. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    wait forget it i read the question wrongly..100 coins are tossed..not 100 coins are tossed 100 times..sorry.

  17. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Mimi, you are right.

  18. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    I'm sorry; but I'm confused I'm not that good with Probability. Re-reading the question again it says "100 coins are tossed" does that mean that it's not Binomial Probability? Since it is not 100 times?

  19. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    You can think about one coin tossed 100 times.

  20. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    But 100 coins are tossed; does that mean it is all tossed at the same time? So it is not Binomial Probability.

  21. eliassaab
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Tossing 100 coins and tossing a coin 100 times is the same event.

  22. Mimi_x3
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 3

    ok. i got it. thanks.

  23. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.