Question

State the sample space for the following random experiments:

Two persons are to be selected from five persons a, b, c, d, e.

Answer 1

Total number of ways of selecting two persons from 5 persons

= ⁵C₂ = \(\frac{5×4}{2×1}\) = 10

The sample space for the random experiment of selecting two persons from five persons a, b, c, d, e is expressed as follows:

U = {(a, b), (a, c), (a, d), (a, e), (b, c), (b, d), (b, e), (c, d), (c, e), (d, e)}