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In a futuristic society, 1 out of every 500 devices contains a rare quantum crystal as its power source. A crystal detector has been invented with the following properties:
Sensitivity: If a device has a quantum crystal, the detector correctly registers it as active 90\(\pourcent\) of the time.
Specificity: If a device does not have a quantum crystal, the detector correctly registers it as inactive 97\(\pourcent\) of the time.
Find the probability in percent that a device actually has a quantum crystal if the detector registers it as active (round to 1 decimal place):
\(\PCond{\text{Crystal}}{\text{Active}} = \)
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