The document describes a population of 6 essay competition finalists: Lisa, Melinda, Ben, Danny, Eric, and Joan. There are 15 possible samples of 2 finalists that can be selected without replacement from this population. The question asks what the probability is of selecting Lisa and Danny specifically in a random sample of 2.

1. Provide an appropriate response.
The finalists in an essay competition are Lisa (L), Melinda (M), Ben (B), Danny (D), Eric (E),
and Joan (J). Consider these finalists to be a population of interest. The possible samples
(without replacement) of size two that can be obtained from this population of six finalists are as
follows.
L,ML,BL,DL,EL,JM,BM,DM,EM,JB,DB,EB,JD,ED,JE,J
If a simple random sampling method is used to obtain a sample of two of the finalists, what are
the chances of selecting Lisa and Danny?
Solution
1/16