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Math Help - [SOLVED] lottery question.

  1. #1
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    [SOLVED] lottery question.

    in a pick three lottery 3 digits are randomly chosen from 0-9,
    The three numbers can be the same.

    what are the odds getting the 3 numbers right?
    what are the odds of getting them in the correct order?

    The order one I got right, 10x10x10=1000
    but the other one I cannot get....the answer is 1/167 but I dont see how that is found.

    thanks.
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  2. #2
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    I guess its because if you have

    012 it could be 012,021,120,102,201,210? 3!.... I guess thats the easiest way?
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  3. #3
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    Quote Originally Posted by brentwoodbc View Post
    in a pick three lottery 3 digits are randomly chosen from 0-9, The three numbers can be the same.
    what are the odds getting the 3 numbers right?
    ....the answer is 1/167
    Quote Originally Posted by brentwoodbc View Post
    012 it could be 012,021,120,102,201,210? 3!.... I guess thats the easiest way?
    Frankly, I think that this question is so poorly written as to make it meaningless.

    Take your example. Suppose that the winning draw is 012.
    If I had bought the ticket 010 then do I win? All my numbers are in the ticket.

    Suppose the wining draw is 343.
    I buy the ticket 345. Do I win?

    What does a winning ticket actually mean?
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  4. #4
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    its two questions.
    say the drawn number was 123
    1= if you have pick the 3 numbers that have been drawn you ie (231=win)

    2=you pick those three number in the same order that is drawn.
    (231=lose / 123 =win)

    Im pretty sure I understand it know though.
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  5. #5
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    Quote Originally Posted by brentwoodbc View Post
    its two questions.
    say the drawn number was 123
    1= if you have pick the 3 numbers that have been drawn you ie (231=win)

    2=you pick those three number in the same order that is drawn.
    (231=lose / 123 =win)

    Im pretty sure I understand it know though.
    That does not answer my objections: FORGET ORDER!
    Please reread my post.
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  6. #6
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    Oh I get what you mean like if 012 was drawn and you picked 111 hmm. I see what you mean, I think it means to pick all of the numbers drawn either in order or not.

    I just looked in the book again and the question is about 100 words long so I shortened it, if you look at it that way even the books question is questionable.
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  7. #7
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    hello

    the answer to the second question is 1 in 167 is worked out as follows

    there are 10 * 10 * 10 = 1000

    but ....

    say if you picked the 3 numbers , 123

    and 321 came out , would you lose because the order was wrong?

    if you had to get the right order your odds of winning are 1 in 1000


    but ...

    if 123 , 321 , 132 , 312 , 213 , 231 are treated as the same ,,meaning
    any one of them would be a winner like in the lottery , you need to eliminate them from the 1000

    10 * 10 * 10 = 1000 divided by 3 * 2 * 1 , ie 6 = 167

    so your chances of winning are now 1 in 167

    now 123 , 321 , 132 , 312 , 213 , 231
    are treated as the same

    so any 1 of the in any order is a winner! yippy
    i hope this helps
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