Question

Two coins are tossed simultaneously. Write the sample space (S) and number of sample points n(S). Also write the following events in the set form and write the number of sample points in each event. 

(i) Condition for event A : to get at least one tail. 

(ii) Condition for event B : to get only one head. 

(iii) Condition for event C : to get at most one tail. 

(iv) Condition for event D : to get no head.

Answer 1

If two coins are tossed simultaneously, 

S = {HH, HT, TH, TT}      n(S) = 4

(i) Condition for event A : at least one head. 

A = {HH, HT, TH}      n(A) = 3 

(ii) Condition for event B : only one head. 

B = { HT, TH}        n(B) = 2 

(iii) Condition for event C : at most one tail. 

C = {HH, HT, TH}      n(C) = 3 

(iv) Condition for event D : No head. 

 D = {TT}           n(D) = 1