Classical Method for Specific Sample

Nicole, BrittanyNicole, AdamNicole, SteveNicole, MarcBrittany, Adam
Brittany, SteveBrittany, MarcAdam, SteveAdam, MarcSteve, Marc

In simple random sampling, each individual has the same chance (equally likely) of being selected. Consequently, mathematicians can use the classical method to calculate the probability of obtaining a specific sample.

Example

Nicole, Brittany, Adam, Steve, and Marc work for a developing company. During the development phase, the company wants to send two employees to the product launch in New York City. To be fair, the company draws two names from a hat to decide the two who will attend. What is the probability that Nicole and Marc will attend the product launch?

Solution

Begin by listing the sample space. Then compute the probability that Nicole and Marc will attend the product launch.

`(n(E))/(n(S))=1/10=0.1`