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Math Help - Jumping Bug... (X+Y)^8

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    Jumping Bug... (X+Y)^8

    Starting at the origin, a bug jumps randomly along a number line. Each second it jumps on unit to the right or one unit to the left (either move being equally likely). Describe all the places that the bug could be after eight seconds, and tell how likely each place is.

    Then do it for 9 seconds


    I know it has to do with (x+y)^8 but i dont know what x and y are.... -1 and 1?
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    Quote Originally Posted by stones44 View Post
    Starting at the origin, a bug jumps randomly along a number line. Each second it jumps on unit to the right or one unit to the left (either move being equally likely). Describe all the places that the bug could be after eight seconds, and tell how likely each place is.
    Letís change to Lís & Rís and expand.
    In the graphic you see there are 28 ways the bug could move 6 jumps left and 2 jumps to the right landing in any case at Ė4.
    There is only one way to land at 8 making 8 jumps to the right.
    Attached Thumbnails Attached Thumbnails Jumping Bug...  (X+Y)^8-bughop.gif  
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