By Tajammal MaqboolFounder & Developer
Build fluency in distinguishing risk from uncertainty, calculating expected values, and recognizing the psychological biases that warp human risk perception. These skills protect you from both reckless overconfidence and paralyzing overcaution.
Risk is the part of a decision that survives all your planning. Risk assessment is the discipline of laying out the range of things that could actually happen, clearly enough to choose between options on that basis rather than on what merely feels likely. That means weighing expected value, and also knowing when expected value is the wrong yardstick, and when a vivid story has hijacked your sense of the odds.
Risk and uncertainty are different problems, and human intuition handles both badly. This exercise trains you to calculate expected values, distinguish quantifiable risk from genuine uncertainty, and recognize the biases that warp risk perception, so your sense of what is dangerous tracks likelihood rather than vividness.
Two calculations repay practice. First, small annual risks compound. A 2% chance each year runs to about 64% over fifty years, turning 'basically never' into 'more likely than not.' Second, downside survival matters. When the worst case ends the game, whether through bankruptcy, ruin, or mission failure, a good average return is no comfort.
The precautionary principle is a specific tool, not a general rule: it fits decisions where the downside is catastrophic and irreversible and the odds are genuinely unknown, as when releasing a self-spreading organism. Applied to everything, it would freeze all progress. For more probabilistic reasoning practice, see the Probability & Statistics exercises.
Question 1
A startup founder must choose between two growth strategies. Strategy A: spend $200,000 on paid advertising with a 70% chance of generating $500,000 in revenue and a 30% chance of generating only $50,000. Strategy B: spend $200,000 on a sales team with a 50% chance of generating $600,000 and a 50% chance of generating $150,000. The founder has only $210,000 in the bank. Rank these strategies by expected profit.
Question 2
A patient is told she has a tumor and must choose between two treatments. Surgery has a 90% survival rate. Radiation has an 85% survival rate but avoids surgical risks and has a faster recovery. Her doctor frames it as: 'Surgery has a 10% mortality rate, while radiation has a 15% mortality rate.' The patient, initially leaning toward radiation for quality-of-life reasons, now feels panicked about the 15% figure. What cognitive bias is most likely distorting her reasoning?
Question 3
After a commercial airplane crash that kills 174 people, a survey finds that 68% of respondents say they would avoid flying for the next six months. In the same year, approximately 38,000 people die in car accidents in the US, but only 4% of respondents say they plan to drive less. What explains this asymmetry in risk perception?
Question 4
A city council is debating whether to invest $8 million in a new levee system. Engineers estimate a 2% annual probability of a flood causing $300 million in damage without the levee. The mayor argues: '2% is basically zero. We have not flooded in 40 years.' What additional information would most change this analysis?
Question 5
A biotech startup is deciding whether to release a genetically modified crop that increases yield by 35% and could alleviate food shortages in drought-prone regions. However, long-term ecological effects are poorly understood, and no field trials longer than 3 years exist. The CEO says: 'We can't let uncertainty stop progress.' When is the precautionary principle most appropriate?
Where to go after this exercise.
