Question

The finalists in an essay competition are Lisa (L), Melina (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: LM LB LD LE LJ MB MD ME MJ BD BE BJ DE DJ E,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? 1/15 2/15 3/15 4/15

Answer 1

Total samples possible = 15 (those are given in question)

There is only one way to get Lisa and Danny.

P(L, D) = 1/15 (option A)

So, Option A) 1/15 is the answer.

Please comment if any doubt. Thank you.