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There is a set of trading rules that only fails [true positive] 1/1000 times. However, when entering the trade, there is a 5% false positive rate in screening trades, which can take you out of the trade based on your risk management rules, thereby missing the return. You are only authorised by your partner/manager/firm to take a maximum of 10 trades each year. Trades are screened through this rule set randomly from all manner of securities, [stocks, futures, options]. A trade is screened and it is positive. What is the probability that the trade will fail? Will you take the trade?

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