A box contains 1 red and 3 identical white balls. Two balls are drawn at random in succession without replacement. Write the sample space for this experiment.

Question

Philoid · Accepted Answer

Let R be the event a red ball is drawn and W be the event a white ball is drawn

Since all the white balls are identical so the event of drawing any one of the three-white ball is same.

Total Number of Sample space =(2²-1)=3 (Since both the balls cannot be red)

We define the possible outcomes by an ordered set (x, y)

x denotes drawing the first ball

y denotes drawing the second ball

Sample space S={(W,W),(W,R),(R,W)}