Question

In: Statistics and Probability

1. Maggie buys an MP3 player and loads 10 songs on it: 3 rock, 6 pop,...


1. Maggie buys an MP3 player and loads 10 songs on it: 3 rock, 6 pop, and 3 country songs. She listens to the first two songs in shuffle mode, which picks songs at random and allows the same song to be played repeatedly.
(a) Write the sample space as a set of ordered pairs. (You may abbreviate rock, pop, and country as R, P, and C, respectively.)
(b) Are these outcomes equally likely? Why or why not?

2. Homer rolls two fair dice. As a reduced fraction such as ¼ (not a decimal such as 0.25), find the probability that he rolls each of the following. You must show work!
(a) a sum of at most 5
(b) odd and greater than 8
(c) 3, given that the sum is less than 4

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Expert Solution

orchestra answered 1 year ago
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