Given: A coin is tossed and there is box which contains 2 red and 3 black balls.
When coin is tossed, there are 2 outcomes {H, T}
According to question, if tail turned up, the ball is drawn from a box.
So, sample for this experiment S1 = {(T, R1) (T, R2) (T, B1) (T, B2) (T, B3)}
Now, If Head is turned up, and then die is rolled.
So, sample space for this experiment S2 = {(H, 1) (H, 2) (H, 3) (H, 4) (H, 5) (H, 6)}
The required sample space will be S = S1 ⋃ S2
So,
S = {(T, R1), (T, R2), (T, B1), (T, B2), (T, B3), (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)}
∴ S is the elementary events associated with the given experiment.
