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In: Statistics and Probability

When people buy a certain type of laptop, there are three most popular upgrading options: upgrade...

When people buy a certain type of laptop, there are three most popular upgrading options: upgrade the RAM (A), upgrade the hard drive (B), upgrade the graphic card (C). If 50% of all purchasers request A, 40% request B, 36% request C, 66% request A or B, 76% request A or C, 66% request B or C, and 86% request A or B or C, determine the probabilities of the following events.

(1) One randomly selected purchaser will request at least one of the three options.

(2) One randomly selected purchaser will select none of the three options.

(3) One randomly selected purchaser will request only option C and not neither of the other two options.

(4) One randomly selected purchaser will request exactly one of the three options.

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