From the Ted Talk by Elizabeth Cox: Can you outsmart the slippery slope fallacy?
Unscramble the Blue Letters
Let’s assume for the sake of argument that, taken iliaiuvdndly, each step between A and Z is independent from the others and very likely— 99%. So the probability that A causes B, that B causes C, that C causes D, and so on, is each 99%. Even so, each additional step adds an opportunity to alter the outcome, and A is only 78% likely to lead to Z— far from an inevitability. If there’s a 95% likelihood of each step, the chance that A leads to Z pumlmets to about 28%. If there’s a 90% likelihood at each step— still very likely by most standards— the chance that A leads to Z is only 7%. And if 24 of the 25 steps between A and Z are 99% likely, and one is 50% likely, the cahcne that A leads to Z goes down from 78% to 39%.
Open Cloze
Let’s assume for the sake of argument that, taken ____________, each step between A and Z is independent from the others and very likely— 99%. So the probability that A causes B, that B causes C, that C causes D, and so on, is each 99%. Even so, each additional step adds an opportunity to alter the outcome, and A is only 78% likely to lead to Z— far from an inevitability. If there’s a 95% likelihood of each step, the chance that A leads to Z ________ to about 28%. If there’s a 90% likelihood at each step— still very likely by most standards— the chance that A leads to Z is only 7%. And if 24 of the 25 steps between A and Z are 99% likely, and one is 50% likely, the ______ that A leads to Z goes down from 78% to 39%.
Solution
chance
plummets
individually
Original Text
Let’s assume for the sake of argument that, taken individually, each step between A and Z is independent from the others and very likely— 99%. So the probability that A causes B, that B causes C, that C causes D, and so on, is each 99%. Even so, each additional step adds an opportunity to alter the outcome, and A is only 78% likely to lead to Z— far from an inevitability. If there’s a 95% likelihood of each step, the chance that A leads to Z plummets to about 28%. If there’s a 90% likelihood at each step— still very likely by most standards— the chance that A leads to Z is only 7%. And if 24 of the 25 steps between A and Z are 99% likely, and one is 50% likely, the chance that A leads to Z goes down from 78% to 39%.