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Math Help - who strikes the lottery?!

  1. #1
    Junior Member mathbuoy's Avatar
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    Smile who strikes the lottery?!

    I am not sure whether this is a math problem. <may be is probability>

    5 person A, B, C, D, and E each bought a lottery ticket. Only one of them strikes the lottery.

    A said: C strikes the lottery
    B said: A strikes the lottery
    C said: A is lying
    D said: I did not strike the lottery
    E said: B strikes the lottery

    Only one of them tells the truth. Who strikes the lottery?
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  2. #2
    MHF Contributor
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    Re :

    Quote Originally Posted by mathbuoy View Post
    I am not sure whether this is a math problem. <may be is probability>

    5 person A, B, C, D, and E each bought a lottery ticket. Only one of them strikes the lottery.

    A said: C strikes the lottery
    B said: A strikes the lottery
    C said: A is lying
    D said: I did not strike the lottery
    E said: B strikes the lottery

    Only one of them tells the truth. Who strikes the lottery?

    A tells the truth
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  3. #3
    Junior Member
    Joined
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    Quote Originally Posted by mathbuoy View Post
    I am not sure whether this is a math problem. <may be is probability>

    5 person A, B, C, D, and E each bought a lottery ticket. Only one of them strikes the lottery.

    A said: C strikes the lottery
    B said: A strikes the lottery
    C said: A is lying
    D said: I did not strike the lottery
    E said: B strikes the lottery

    Only one of them tells the truth. Who strikes the lottery?
    This is a logic problem,need to find contradiction,then find only one answer.

    easy way is
    U can see (A,C), ( B,D,E ) is contradiction for conditions(Only one of them strikes the lottery.Only one of them tells the truth)

    so D strikes the lottery,C is telling the truth.
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  4. #4
    MHF Contributor
    Joined
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    West Malaysia
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    Re :

    Oops , i made a mistake .

    Or maybe we can try elimination .

    If A strikes , then C and D are telling the truth
    If B strikes , then C , D and E are telling the truth
    If C strikes, Then A and D are telling the truth
    If D strikes , Only C tells the truth
    If E strikes, then C and D are telling the truth .

    It says that only one tells the truth and only one strikes .
    Thus D strikes a lottery and C is telling the truth .
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