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  • ISHAN
    ISHAN

    Member • Sep 8, 2011

    Probability GATE Practice

    Friends,
    I GATE, I have seen that about 10-12 marks come directly from Maths. Out of which Probability and statistics.has a big share.
    I am dedicating this thread to for practicing and posting some simple methods for probability problems.

    I will be posting the common types of questions which are asked in GATE.

    Feel free to make your contributions.

    Instruction: NO SPAMMING. SPAMMERS WILL BE BANNED.
    -By order-
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  • ISHAN TOPRE

    Member • Sep 8, 2011

    Type 1]

    A company has three machines A, B, C. They produce 15%, 20% and 65% of identical goods respectively. Out of them the defective pieces produced by each machine are 0.01, 0.03, 0.15.

    What is the probability that a defective piece is selected and it is produced by Machine C?
    Solution:[TABLE="class: grid, width: 350"]
    [TR]
    [TD]Machine[/TD]
    [TD]A[/TD]
    [TD]B[/TD]
    [TD]C[/TD]
    [/TR]
    [TR]
    [TD]Probability Of Production P(M)[/TD]
    [TD]15/100[/TD]
    [TD]20/100[/TD]
    [TD]65/100[/TD]
    [/TR]
    [TR]
    [TD]Defects By Each Machine P(D/M)[/TD]
    [TD]1/100[/TD]
    [TD]3/100[/TD]
    [TD]15/100[/TD]
    [/TR]
    [/TABLE]



    We have to find P(M/D)=P(C/D)

    We will use Baye's Theorem
    P(C/D)= {0.65*0.15)/ {0.15*0.01+0.20*0.03+0.65*0.15}

    P(C/D)=13/14
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