What is the chance it was the virus that did it (and thus a reboot will destroy the files!)?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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An unattended laptop computer has been infected with a virus which, if not removed by the protection program, has a 94% chance of infiltrating the operating system and destroying all stored files. To do this, it will institute a shutdown and require a user reboot. The laptop’s virus protection program, unfortunately, is outdated and thus has only a 68% chance of removing the virus once it has infected the computer. Further, to complete removal, the protection program will also need to institute a shutdown and require a user reboot. The computer has also been set to institute a shutdown on its own, if left unused for an hour, in order to conserve battery power.

Suppose the laptop’s owner returns after 60 minutes to find it has shutdown. What is the chance it was the virus that did it (and thus a reboot will destroy the files!)?

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