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Math Help - Basic Question

  1. #1
    Super Member
    Joined
    Dec 2009
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    Basic Question

    Two rooms were stored with tyres. One room was stored with 3 good tyres and 5 spoilt tyres. The other room was stored with 2 good tyres and 5 spoilt tyres.
    A mechanic choses one of the room at random and takes out a tyre. Find the probability that the tyre chosen is good.
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  2. #2
    Junior Member
    Joined
    Aug 2009
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    Since you have been asked to find the probability of only the good tyres,

    the probability of him choosing a good tyre from the first room (3/8) and from one of the two rooms (1/2) OR'ed with the probability of him choosing a good tyre from the second room (2/7) and from one of the two rooms (1/2):

    ( 1/2 * 3/8) + ( 2/7 * 1/2)
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