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.


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