Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mathishard2 Group Title

A man has five pairs of socks (no two pairs are the same color). If he randomly selects two socks from a drawer, what is the probability that he gets a matching pair?

  • one year ago
  • one year ago

  • This Question is Open
  1. izzy56658989 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    1/2 chances or 5/10

    • one year ago
  2. mathishard2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    The answer in the book says 1/9...

    • one year ago
  3. izzy56658989 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i never said it was gonna be right there was a half chance i was wrong

    • one year ago
  4. mathishard2 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I'm not trying to show that you're wrong... I just wanted to see if someone could explain this question to me. Because math is hard. And I have a test on probablility tomorrow.

    • one year ago
  5. izzy56658989 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    k there's 5 there it's an uneven number which means if u tryed to pair them all up 1 would be left behind

    • one year ago
  6. izzy56658989 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    lik if u got rid of that 1 sock and did 4x2 =8+1=9

    • one year ago
  7. izzy56658989 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    there's ur denominator

    • one year ago
  8. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    he picks one sock it is some color

    • one year ago
  9. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    then there are 9 socks left in the drawer, and only one has the same color as the sock he picked originally

    • one year ago
  10. izzy56658989 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    exactly it never said they were the same colors

    • one year ago
  11. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    so the probability that the next sock he picks has the same color is \(\frac{1}{9}\)

    • one year ago
  12. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    it is easier to think about it if you imagine picking one at a time instead of two at once

    • one year ago
  13. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    we can also solve with thinking of picking two at once the number of ways he can pick the two socks out of the total of ten socks is \[\dbinom{10}{2}=\frac{10\times 9}{2}=5\times 9=45\] of those 45 ways, 5 of them are pairs that match, so you get the probability as \[\frac{5}{45}=\frac{1}{9}\]

    • one year ago
  14. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 2

    i think the first way is easier to envision, but it is a matter of taste i suppose

    • one year ago
    • Attachments:

See more questions >>>

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.