Question

Suppose you have a spinner comprised of six equal spaces: a orange 1, a yellow 2,...

  1. Suppose you have a spinner comprised of six equal spaces: a orange 1, a yellow 2, a green 3, a pink 4, a blue 5, and a purple 6. Consider an experiment that consists of randomly spinning the spinner twice.
    1. Draw a tree diagram that shows all of the possible outcomes of this experiment. That is, draw a tree diagram that illustrates all possible two spin outcomes.
    2. Count the number of paths that yield anything but green or pink on the first spin and then an odd on the second spin, and also count the total number of paths.
    3. Use the values in part b to determine the probability that one would randomly spin anything but green or pink on the first spin followed by an odd on the second spin.
    4. Is the event of randomly spinning anything but green or pink on the first spin followed by an odd on the second spin an example of dependent or independent events? Explain your answer.

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