To avoid detection at customs, a traveler places 7 narcotic tablets in a bottle containing 14 similar-looking vitamin pills. If the customs officer selects 7 of the tablets at random from the bottle...

To avoid detection at customs, a traveler places 7 narcotic tablets in a bottle containing 14 similar-looking vitamin pills. If the customs officer selects 7 of the tablets at random from the bottle for analysis.

What is the probability that the traveler will be arrested for illegal possession of narcotics?
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What is the probability that the traveler will not be arrested for illegal possession of narcotics?
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What is the average number of narcotic pills the customs officer can find? (if not an integer, round up to the next integer)
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Note: Answer with at least 4 decimal places