Conditional Probabilityhard
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An online game platform tracks players across three tiers: Bronze, Silver, and Gold, representing 50%, 30%, and 20% of the population. A 'pro-gamer' status is achieved by 5% of Bronze players, 15% of Silver players, and 40% of Gold players. If a player is randomly selected and it is determined they are a 'pro-gamer', what is the probability that they are in the Silver tier?