For each of the following experiments write sample space ‘S’ and number of sample points n(S).

(1) One coin and one die are thrown simultaneously.

Solution:
(1) Given one coin and one die are thrown simultaneously.
Sample Space, S = {1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T}
Number of events in Sample Space S, n(S) = 12

(2) Two-digit numbers are formed using digits 2, 3 and 5 without repeating a digit.

Solution:
Given two-digit numbers are formed using digits 2, 3 and 5 without repeating a digit
Sample Space, S = {23, 25, 32, 35, 52, 53}
Number of events in Sample Space S, n(S) = 6