Consider the following experiment There are 5 members of a t

Consider the following experiment. There are 5 members of a team: John (J), Clara (C), George (G), Dotty (D), Harry (H). Two members are selected at random to be the captains of the team. Write the sample space for this experiment

Solution

From 5 members two of them can be selected in ⁵C₂ = 10 ways.

The sample space conists of the following 10 elements:

(J,C),(J,G),(J,D),(J,H),

(C,G),(C,D),(C,H),

(G,D),(G,H),

(D,H)