A coin is tossed. If it shows tail, we draw a ball from a box which contains 2 red 3 black balls; it shows head, we throw a die. Find the sample space of this experiment.
Given: A coin is tossed and there is box which contain 2 red and 3 black balls.
To Find: Write the sample space for the given experiment.
Explanation: when coin is tossed , there are 2 outcome {H, T}
According to question, If tail turned up, the a 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, 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)}
Hence, S is the elementary events associated with the given experiment.