Your computer's power supply can fail but not suddenly. It might be happen by gradual small failures to give you a big shock.
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We all are instructed manually to shut down the windows before turning of the computer but if the power goes while shutting the windows down , it might cause serious loss to the system if it is not protected.
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It is possible that computer is crashing due to some kind of power supply related failure but it might be dependent on other features too.
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