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You weigh in potential gain and likely probability of gain and amount and likely probability of a potential loss. For example:

1) To bet 100$ with 51% chance of winning 200$ and 49% loosing is an acceptable risk

2) To bet 100$ with 1% chance of winning 12000$ is also an acceptable risk

3) To bet 100$ with 30% chance of winning 300$ is not an acceptable risk

I understand that you question probably does not relate to money, but I think it is easier to see the point that way. In real situations you would have to estimate probabilities and compare potemtial gains and losses.

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Q: How would you decide what level of risk is acceptable?
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