Question

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

Answer 1

(1) Sample Space (S) = {1H, 1T, 2H, 2T, 3H, 3T, 4H, 4T, 5H, 5T, 6H, 6T}
∴ n(S) = 12
Hence, the required number of sample spaces is 12.
(2) Sample Space (S) = {23, 25, 32, 35, 52, 53}
∴ n(S) = 6
Hence, the required number of sample spaces is 6.