## Related questions with answers

Abby, Deborah, Julie, 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.) Write down all possible choices of two of the five names. This is the sample space.

Solution

VerifiedGiven: Abby, Deborah, Julie, Sam, Roberto

Let us abbreviate the names as A, D, J, S and R.

We will select 2 of the five names. The order of the names does not matter, because both will be attending the conference and it does not matter whether a person is selected first or second.

All possible combinations of two of the five names (with repetition of names not allowed) are then:

$\{AD, AJ, AS, AR, DJ, DR, DS, JS, JR, SR\}$

This is then the sample space.

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