The numbers 1, 2, 3 and 4 are written separatly on four slips of paper. The slips are put in a box and mixed thoroughly.  A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment

Solution:

If 1 appears on the first drawn slip, then the possibilities that the number appears on the second drawn slip are {2, 3, 4}.

If 2 appears on the first drawn slip, then the possibilities that the number appears on the second drawn slip are {1, 3, 4}.

If 3 appears on the first drawn slip, then the possibilities that the number appears on the second drawn slip are {1, 2, 4}.

If 4 appears on the first drawn slip, then the possibilities that the number appears on the second drawn slip are {1, 2, 3}.

Thus, the sample space of this experiment is given by

S = {(1, 2), (1,3), (1, 4), (2,1), (2,3), (2, 4),

       (3,1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}

NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.1 Question 13

The numbers 1, 2, 3 and 4 are written separatly on four slips of paper. The slips are put in a box and mixed thoroughly.  A person draws two slips from the box, one after the other, without replacement. Describe the sample space for the experiment.

Summary:

The sample space for the experiment(S) = {(1, 2), (1,3), (1, 4), (2,1), (2,3), (2, 4), (3,1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}