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Math Help - Random numbers

  1. #1
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    Random numbers

    Independently of each other, two people think of a number between 1 and
    10. What is the probability that five or more numbers will separate the
    two numbers chosen at random by the two people?
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  2. #2
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    Here is a suggestion. Draw a 10x10 grid.
    There will be 100 lattice points, pairs of integers, (1,1) to (10,10).
    Count the number pf pairs that works.
    For example, the pairs (4,9) & (9,4) both work.
    How many others are there?
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