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In: Statistics and Probability

Abby, Deborah, Mei-Ling, Sam, and Roberto work in a firm's public relations office. Their employer must...

Abby, Deborah, Mei-Ling, Sam, and Roberto work in a firm's public relations office. Their employer must choose two of them to attend a conference in Paris. To avoid unfairness, the choice will be made by drawing two names from a hat. (This is an SRS of size 2.)

(a) Write down all possible choices of two of the five names. This the sample space. Note: Please input, for example, (Abby, Mei-Ling) or (A, M) to include a pair and use comma AND a space to separate each pair.
(b) The random drawing makes all choices equally likely. What is the probability of each choice?
(c) What is the probability that Abby is chosen?

(d) What is the probability that neither Deborah nor Abby is chosen?

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