1. Consider three dice: one red, one blue, and one green. The sides of the red die contain the numbers 3 3 3 3 3 6, the sides of the blue die contain the numbers 2 2 2 5 5 5, and the sides of the green die contain the numbers 1 4 4 4 4 4.
(a) Determine the probability that the red die will show a higher number than the blue die when both are tossed.
(b) Determine the probability that the blue die will show a higher number than the green die when both are tossed.
(c) Determine the probability that the green die will show a higher number than the red die when both are tossed.
(d) What is surprising about the results in parts (a)-(c)?
2. Car production in North America in January 2016 was distributed among car manufacturers as follows.

This means that 60% of the cars produced in North America were manufactured by domestic companies; of them, 33% were Chryslers, 39% were Fords, and 28% were General Motors products.
(a) A January 2016 automobile is chosen at random. What is the probability that it is a General Motors car?
(b) What is the probability that a randomly selected January 2016 automobile is a Ford or a Toyota?

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North American Percentage of Type by Brand Car Production Type Domestic Chrysler 60% 33% Ford 39% General Motors 28% 40% Foreign Honda 34% Toyota 33% Other 33%