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The emails of a person received belong to one of the three categories: (i) 10% being high priority (ii) 20% being low priority and

The emails of a person received belong to one of the three categories: (i) 10% being high priority (ii) 20% being low priority and (iii) 70% being spam. The person considers setting a filter by deleting any emails with the word "free" in it. The probability for a high or low priority email to contain "free" is 1% and for a spam is 90%. What is the probability of a deleted email based on this filter to be actually a high priority?

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