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Occuring Events- Probabilities

  1. Sep 21, 2008 #1
    1. The problem statement, all variables and given/known data
    A box contains two white, two red, and two blue poker chips. Two chips are randomly chosen without replacement, and their colors are noted. Define the following events:
    A) Both chips are of the same color
    B)Both chips are red
    C)At least one chip is red or white
    Find P(A/B), P(B/A^c), P(B/C), P(A/C), P(C/A^c)


    2. Relevant equations



    3. The attempt at a solution
    A) So at the start there are 6 chips, probability of pulling out the first one of any color would be 6/6 then there is one less in the bag but we now need the same color as we hauled out the first time. So if you have a red one out for example there are 5 chips left and only one is red so is it 1/5 chance?
     
  2. jcsd
  3. Sep 21, 2008 #2
    Wouldnt the answer be the same for both A and B ?
     
  4. Sep 21, 2008 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    Do you understand what A and B ask? Neither A nor B asks for a probability. That is the last question in the problem (that is not labeled). A and B merely asks for a lists of the "events"- that is, a list of the pairs of chips that satisfy the conditions "two chips of the same color" for A and "two red chips" for B. No, the answers are not the same- and nothing that you said under "A)" has anything to do with the answer to A.
     
  5. Sep 21, 2008 #4
    So for the first one it can be defined as {WW,BB,RR} because those are the chips that can satisfy the conditions?
     
  6. Sep 21, 2008 #5
    Can someone please help me this is the easiest of 4 questions I have left I'm lost
     
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