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Two dice are thrown independently. Let A...

Two dice are thrown independently. Let `A` be the event that the number appeared on the first die is less than the number appeared on the second die, `B` be the event that the number appeared on first die is even and that on the second die is odd and `C` be the event that the number appeared on the first die is odd and that on second is even. Then

A

`A` and` B` are mutually exclusive

B

the number of favourable cases of the events `A`,`B` and `C` are `15, 6 and 6` respectively

C

`B` and `C` are independent

D

the number of favorable cases of the event `(A uu B) nn C` is `6`

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The correct Answer is:
D
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