A box contains 1 red and 3 black balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.
Given: A box contains 1 red and 3 black balls.
To Find: Write the sample space for the given experiment.
Explanation: We have 1 red and 3 black balls in a box.
Let Assume Red = R
Let Assume Blue = B
Since, two balls are drawn at random without replacement,
So, The sample spaces for this experiment is:
S={(R, B1), (R, B2), (R, B3)(B1, B2)(B1, B3)(B1, R)(B2, R)(B2, B1)(B2, B3)(B3, R)(B3, B1)(B3, B2)}
Hence, S is the sample spaces for given experiment.