JEE Math Practice Question

Two dice are thrown independently. Let $$\mathrm{A}$$ be the event that the number appeared on the $$1^{\text {st }}$$ die is less than the number appeared on the $$2^{\text {nd }}$$ die, $$\mathrm{B}$$ be the event that the number appeared on the $$1^{\text {st }}$$ die is even and that on the second die is odd, and $$\mathrm{C}$$ be the event that the number appeared on the $$1^{\text {st }}$$ die is odd and that on the $$2^{\text {nd }}$$ is even. Then :

1. A.A and B are mutually exclusive
2. B.the number of favourable cases of the events A, B and C are 15, 6 and 6 respectively
3. C.B and C are independent
4. D.the number of favourable cases of the event $$(\mathrm{A\cup B)\cap C}$$ is 6