Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

Idealist

  • 2 years ago

When rolling two dice, what is the probability that the sum is 7 given that one die is a 5?

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

    If one die is 5, there's only one possible result on the other die to get 7. What is the probability of rolling what you need?

  2. DarkendSinz30
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    There are 6 x 6 or 36 options, all are equally likely, 7 occurs 6 times, so the chances are 6/36 or 1/6. hope this helps?

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

    I don't get it. What do you mean by 7 occurs 6 times?

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

    to get a 7: dice1 dice2 1 6 2 5 3 4 4 3 5 2 6 1 six different ways.. now how many of those have a 5 showing?

  5. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    if you know that one die is a 5 then your sample space has only 6 elements in it of those six elements, exactly one gives a total of 7, namely (5,2)

  6. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    therefore your answer is \(\frac{1}{6}\)

  7. sirm3d
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    there are 11 outcomes when one of the outcome is 5.

  8. satellite73
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @dpaInc is conditioning the other way that is, showing how to compute the probability that one die shows 5 given the total is 7

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

    yep ur right... my bad....

  10. sirm3d
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    (1,5), (2, 5), (3,5), (4,5), (5,5), (5,6), (5,1), (5,2), (5,3), (5,4), (6,5)

  11. sirm3d
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    there are only of those 11 outcomes that have a sum 7. so the probability is 2/11

  12. sirm3d
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    there are only 2 of those 11 outcomes that have a sum 7. so the probability is 2/11

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

    You guys are so helpful, thank you!

  14. sirm3d
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    thanks for the medal, @DarkendSinz30

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

    You're welcome.

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.