Usernames and passwords can be stolen if you've used Facebook to sign up for apps and websites. Most people do this after downloading a new app because it is convenient. But it also opens a door for people to access your public information on Facebook.
The biggest personal data breach to date is probably that experienced by Yahoo who recently admitted that names and phone numbers from more than 500m accounts had been stolen in 2014. The CEO of Yahoo apparently rejected the idea of requiring customers to change their passwords when the breach was discovered because she believed it would have an adverse effect on the business. 93% of data protection breaches are due to human error.
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