Two dice are thrown. The events A, B and 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
(viii) A B’ C’
Here 2 dice are thrown
So the sample space (S) will have following events
According to the given conditions
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
Now
(ii) = A
(iv) A and B (A ∩ B) = ϕ
∴ A ∩ B’ ∩ C’ = A ∩ A ∩ C’ = A ∩ C’