The numbers 1, 2, 3 and 4 are written separately 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.

Question

Philoid · Accepted Answer

Let 1, 2, 3, 4 denote the event 1, 2, 3, 4 numbered slip is drawn

When two slips are drawn without replacement the first event has 4 possible outcomes and the second event has 3 possible outcomes

So the total number of possible outcomes=(4×3)=12

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

x denotes the first event the first slip is drawn

y denotes the second event the second slip is drawn

The sample space 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)}