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Math Help - ...easy one, EASY!

  1. #1
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    ...easy one, EASY!

    During the Christmas holidays 42 students from a group of 85 VCE students found vacation employment while 73 students went away on holidays. Assuming that every student had at least a job or went on a holiday, what is the probability that a randomly selected student worked throughout the holidays (that is, did not go away on holidays), given that he/she had a job?

    Please show any working out to the above. Any help will be appreciated!
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  2. #2
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    Quote Originally Posted by Joker37 View Post
    During the Christmas holidays 42 students from a group of 85 VCE students found vacation employment while 73 students went away on holidays. Assuming that every student had at least a job or went on a holiday, what is the probability that a randomly selected student worked throughout the holidays (that is, did not go away on holidays), given that he/she had a job?

    Please show any working out to the above. Any help will be appreciated!
    I suggest you start by drawing a Venn diagram. You will need to solve the following three simple equations simultaneously:

    a + x = 42

    b + x = 73

    a + x + b = 85


    And in future please use more descriptive post titles than "...easy one, EASY!"
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