Two dice are thrown. The events A, B, C are as follows:
A : Getting an even number on the first die.
B : Getting an odd number on the first die.
C : Getting the sum of the numbers on the dice ≤ 5
Describe the events:
(i) A' (ii) not B (iii) A or B
(iv) A and B (v) A but not C (vi) B or C
(vii) B and C (viii) A ∩ B' ∩ C' (ix) A ∩ B ∩ C'
Solution not provided.
Ans. A' = B (ii) not B = A (iii) (iv)
(v) A - C = {(2,4), (2,5), (2,6), (4,2), (4,3), (4,4), (4,5), (4,6), (6,1), (6,2), (6,3),
(6,4), (6,5), (6,6)}
(vi) = {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (3,1), (3,2),
(3,3), (3,4), (3,5), (3,6), (4,1), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6)}
(vii) {(1,1), (1,2), (1,3), (1,4), (3,1), (3,2)}
(viii) {(2,4), (2,5), (2,6), (4,2), (4,3), (4,4), (4,5), (4,6), (6,1), (6,2),
(6,3), (6,4), (6,5), (6,6)}
(ix)