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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

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Answer:

a)

The sample space are;

{ (A,D), (A,M), (A,S), (A,R), (D,M), (D,S), (D,R), (M,S), (M,R), (S,R) }

b) the possibility of each choices is 1/10 ≈ 0.1

Step-by-step explanation:

Given that;

Abby, Deborah, Mei-Ling, Sam and Roberto work in a firms public relation office

their employer must choose two of them to attend a conference in Paris

The choice will be made by drawing two names from a hat.

A)

so the possible choices of the five names;

The sample space are;

{ (A,D), (A,M), (A,S), (A,R), (D,M), (D,S), (D,R), (M,S), (M,R), (S,R) }

B)

Given that,

the random drawing random drawing makes all choices equally likely.

there are 10 possible chances to select 2 of the 5 names

so the possibility of each choices is 1/10 ≈ 0.1

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