how would I solve this? The textbook says the answer is about 0.167
#Probability of landing on a point
tall badger
peak elkBOT
haughty knoll
I did something similar weeks ago for another problem like this using this to help determine the possibilities... would revise it for this spider web problem...
Think of it as iteration of choices... you first choice is at the origin, so you have 4 possibilities.
After that, the 2nd choice each have 3 choices...
haughty knoll
This is what I got....
The interesting thing is they said the spider is always moving outward, some side moves are not permissible... so there's only one outward path from A to B (moving straight to the right). Any up/down first move from A will end up making non-outward move to reach B.
So as there's 56 total node choices possible, but only A-C-D-B is the correct path, then A of 1/4 x C of 1/12 x D of 1/12 to B = 0.001736
tall badger
The interesting thing is they said the spider is always moving outward, some sid...
Yea I’m so confused how they got their answer
haughty knoll
I highly doubt it's .167 ... because as soon as you start multiplying several fractions together, the decimals drop fast... and you need 3 choices to get to B
They may have included possible up/down first paths as acceptable... but technically you'll need to make a non-outward move to get to B... so I'm not buying that lol
cursive bear
So as there's 56 total node choices possible, but only A-C-D-B is the correct pa...
not sure how you're getting this
If we're doing some kind of equal probability to all legal moves reasoning, wouldn't it be:
(1/4)(1/3)(1/3) = 1/36 ~ 0.0277777778
tall badger
They may have included possible up/down first paths as acceptable... but technic...
Ok so I retried the problem and may have figured something out
1/60 = 0.0167 rounded
the texbook may have a had a typo and missed a 0
haughty knoll
not sure how you're getting this
If we're doing some kind of equal probability ...
Yes I corrected to this as well, just forgot to update the post thanks
haughty knoll
the texbook may have a had a typo and missed a 0
This is a bit ambiguous then with how they presented the problem... because as soon as you hit the perimeter, you can't move along it without not going outward (so can't move), and it says the spider only moves outward UNTIL it reaches the perimeter, in which case, it's done moving. This makes it seem as if the answer considers the spider moving along the perimeter as possible.
tall badger
This is a bit ambiguous then with how they presented the problem... because as s...
It’s the closest thing I got but I see what you mean, many word problems from this text book are kinda ambiguous tbh 💀