The three most popular options on a certain type of new car are a built-in GPS (A), a sunroof (B), and an automatic transmission (C). If 34% of all purchasers request A, 52% request B, 72% request C, 59% request A or B, 78% request A or C, 79% request B or C, and 83% request A or B or C, determine the probabilities of the following events. [Hint: "A or B" is the event that at least one of the two options is requested; try drawing a Venn diagram and labeling all regions.] a. The next purchaser will select exactly one of these three options.

MATLAB: An Introduction with Applications
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The three most popular options on a certain type of new car are a built-in GPS (A), a sunroof (B), and an automatic transmission (C). If 34% of all purchasers request A, 52% request B, 72% request C, 59% request A or B, 78% request A or C, 79% request B or C, and 83% request A or B or C, determine the probabilities of the following events. [Hint: "A or B" is the event that at least one of the two options is requested; try drawing a Venn diagram and labeling all regions.]

a. The next purchaser will select exactly one of these three options.

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