I think two definitions of risk are necessary to successfully explain risk management:
a risk - countable abstract noun - an event, occurence, circumstance, situation or outcome that may occur and would impact on the achievement of objectives (either positively or negatively)
risk - uncountable abstract noun - the likelihood and impact of an event, occurrence, circumstance, situation or outcome. In some cases the word may be used to refer to just the likelihood e.g. "what is the risk of dying in plane crash?" (the impact is defined, therefore the risk reflects the likelihood) or just the impact "what is the risk associated with touching this wire?" (the probability is ignored and therefore risk reflects just the impact.
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