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  • Apr 20, 2008, 12:23 PM
    mdrm0829
    Find the inicated probability
    :confused: A sample of 100 wood and 100 graphite tennis rackets are taken from the warehouse. If 10 wood and 19 graphite are defective and one racket is randomly selected from the sample, find the probability that the racket is wood or defective.
  • Apr 20, 2008, 12:57 PM
    galactus
    A good thing to do with these types of problems is to make a chart.

    Code:

                                          WOOD                      GRAPHITE              TOTAL
    --------------------------------------------------------------------------------------------------

    DEFECT                            10                              19                      29 

    --------------------------------------------------------------------------------------------------
    NOT DEFECT                    90                              81                      171

    -----------------------------------------------------------------------------------------------------
                                        100                            100                  200

    Now, look at the graph. The probability it is wood is clearly 100/200

    The probability it is a defect is 29/100

    But, we have to subtract off the double count, that it's wood and defective, which is

    10/200

    So, we have

    See?

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