1. R
    Standard memberRemoved
    Joined
    10 Dec '06
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    8528
    06 May '21 02:473 edits
    A farmer is trying to protect his two sheep from the local wolves. He sets up two separate double enclosures ( a sheep in a fence within a fence ) made of 16 uniform segments of fence each.

    Enclosure 𝐀 is made of a 10 segments outer fence, and a 6 segments inner fence.

    Enclosure 𝐁 is made of a 12 segments outer fence, and a 4 segments inner fence.

    If overnight 2 segments of fence are knocked down by wind in each enclosure at random, and a wolf can only get to the sheep inside if 1 segment from each of the outer and inner fence from each enclosure are knocked over, in which enclosure ( 𝐀 or 𝐁 ) is the farmer most likely to find his sheep ( alive ) in the morning?

    Part B:
    What is the probability he finds at least one sheep alive in the morning?

    P.S. As always, please hide your response.
  2. Standard memberBigDogg
    Secret RHP coder
    on the payroll
    Joined
    26 Nov '04
    Moves
    155080
    07 May '21 05:412 edits
    @joe-shmo said
    A farmer is trying to protect his two sheep from the local wolves. He sets up two separate double enclosures ( a sheep in a fence within a fence ) made of 16 uniform segments of fence each.

    Enclosure 𝐀 is made of a 10 segments outer fence, and a 6 segments inner fence.

    Enclosure 𝐁 is made of a 12 segments outer fence, and a 4 segments inner fence.

    If overnight ...[text shortened]... finds at least one sheep alive in the morning?

    P.S. As always, please hide your response.
    Odds for sheep living:
    Reveal Hidden Content
    50% for Enclosure A; 60% for Enclosure B


    Part B:
    Reveal Hidden Content
    80%
  3. R
    Standard memberRemoved
    Joined
    10 Dec '06
    Moves
    8528
    07 May '21 11:20

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