Question -
Answer -
Given: A dice isthrown once.
Let us find the givenevents, and also find A ∪ B,A ∩ B, B ∩ C, E ∩ F, D ∩ F and
S = {1, 2, 3, 4, 5, 6}
According to thesubparts of the question, we have certain events as:
(i) A = getting anumber below 7
So, the sample spacesfor A are:
A = {1, 2, 3, 4, 5, 6}
(ii) B = Getting anumber greater than 7
So, the sample spacesfor B are:
B = {Փ}
(iii) C = Gettingmultiple of 3
So, the Sample spaceof C is
C = {3, 6}
(iv) D = Getting anumber less than 4
So, the sample spacefor D is
D = {1, 2, 3}
(v) E = Getting aneven number greater than 4.
So, the sample spacefor E is
E = {6}
(vi) F = Getting anumber not less than 3.
So, the sample spacefor F is
F = {3, 4, 5, 6}
Now,
A = {1, 2, 3, 4, 5, 6}and B = {Փ}
A ⋃ B = {1, 2, 3, 4, 5, 6}
A = {1, 2, 3, 4, 5, 6}and B = {Փ}
A ⋂ B = {Փ}
B = {Փ} and C = {3, 6}
B ⋂ C = {Փ}
F = {3, 4, 5, 6} and E= {6}
E ⋂ F = {6}
E = {6} and D = {1, 2,3}
D ⋂ F = {3}
