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.
@joe-shmo saidOdds for sheep living:
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.
Part B: