text: # Homework Help: How do i find the probability of this>?
  
  1. Nov 13, 2009
  
  ### Dell
  
  How do i find the probability of this>?
  in my closet i have 10 paris of shoes, i randomly take out 8 shoes,
  what is the probability that i will take out exactly one pair?
  
  how do i solve this??
  
  2. Nov 13, 2009
  
  ### redargon
  
  this sounds like a homework question. post it in the HW section and follow the guidelines!
  
  3. Nov 13, 2009
  
  ### clamtrox
  
  If you own 10 pairs of shoes, you could always try a Monte Carlo-approach. :-)
  
  If you pick out one shoe, what are the odds that the next shoe I pick is gonna give me a pair? If that doesn't work, how about the next one?
  
  4. Nov 13, 2009
  
  ### Geekchick
  
  Try rewriting the problem ie. Look at it as having 2 red, 2 blue, 2 yellow, 2 green, 2 purple, 2 orange, 2 violet, 2 pink, 2 black, and 2 white balls. Then given the twenty balls you are trying to make lines of eight without replacement. Thus the probability you're looking for is the probability that you will draw exactly two of one color and one of six other colors.
  
  5. Nov 14, 2009
  
  ### Dell
  
  i looked at it like this, what is the chance i can pick 7 different(non paris) shoes, and thae last one being the pair of one of them
  
  for the 1st i have 20 options,
  for the second i have 18, ( 20 minus the 1 i picked, minus its partner)
  for the second 16
  ...
  for the seventh 8
  for the eighth i have 7 options( the partner of any of the previous 7)
  
  so i have 20*18*16*14*12*10*8*7 ways of choosing exactly one pair
  
  P(one pair)=20*18*16*14*12*10*8*7/20P8=0.10669
  
  is this possible?
explanation: The document is a forum thread where a user named Dell asks a probability question about selecting shoes from a closet. Other users provide suggestions and hints on how to solve the problem. Dell then provides their own solution to the problem.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: # Homework Help: How do i find the probability of this>?
  
  1. Nov 13, 2009
  
  ### Dell
  
  How do i find the probability of this>?
  in my closet i have 10 paris of shoes, i randomly take out 8 shoes,
  what is the probability that i will take out exactly one pair?
  
  how do i solve this??
  
  2. Nov 13, 2009
  
  ### redargon
  
  this sounds like a homework question. post it in the HW section and follow the guidelines!
  
  3. Nov 13, 2009
  
  ### clamtrox
  
  If you own 10 pairs of shoes, you could always try a Monte Carlo-approach. :-)
  
  If you pick out one shoe, what are the odds that the next shoe I pick is gonna give me a pair? If that doesn't work, how about the next one?
  
  4. Nov 13, 2009
  
  ### Geekchick
  
  Try rewriting the problem ie. Look at it as having 2 red, 2 blue, 2 yellow, 2 green, 2 purple, 2 orange, 2 violet, 2 pink, 2 black, and 2 white balls. Then given the twenty balls you are trying to make lines of eight without replacement. Thus the probability you're looking for is the probability that you will draw exactly two of one color and one of six other colors.
  
  5. Nov 14, 2009
  
  ### Dell
  
  i looked at it like this, what is the chance i can pick 7 different(non paris) shoes, and thae last one being the pair of one of them
  
  for the 1st i have 20 options,
  for the second i have 18, ( 20 minus the 1 i picked, minus its partner)
  for the second 16
  ...
  for the seventh 8
  for the eighth i have 7 options( the partner of any of the previous 7)
  
  so i have 20*18*16*14*12*10*8*7 ways of choosing exactly one pair
  
  P(one pair)=20*18*16*14*12*10*8*7/20P8=0.10669
  
  is this possible?
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document is a forum thread where a user named Dell asks a probability question about selecting shoes from a closet. Other users provide suggestions and hints on how to solve the problem. Dell then provides their own solution to the problem.
  
  Label: question-and-answer