Question

Write sample space ‘S’ and number of sample point n(S) for the following experiment. Also write events A, B, C in the set form and write n(A), n(B), n(C).

One coin and one die are thrown simultaneously.
Condition for event A : To get head and an odd number.
Condition for event B : To get a head or tail and an even number. 
Condition for event C : Number on the upper face is greater than 7 and tail on the coin.

Answer 1

 S = {H1, H2, H3, H4, H5, H6 T1, T2, T3, T4, T5, T6}
∴ n(S) = 12
 A = {H1, H3, H5}
∴ n(A) = 3
 B = {H2, H4, H6, T2, T4, T6}
∴ n(B) = 6
 C = {}
∴ n(C) = 0