A coin is tossed. If it shows a tail, we draw a ball from a box which contains 2 red and 3 black balls. If it shows head, we throw a die. Find the sample space for this experiment.
The box contains2 red balls and 3 black balls. Let us denote the 2 red balls as R 1 ,R 2 and the 3 black balls as B 1 ,B 2 and B 3 . The sample space of this experiment is given by, S=TR 1 ,TR 2 ,TB 1 ,TB 2 ,TB 3 ,H 1 ,H 2 ,H 3 ,H 4 ,H 5 ,H 6 Here, H=Head, and T = Tail