Let A, B, C be three mutually independen...

Let A, B, C be three mutually independent events. Consider the two statements `S_(1)` and `S_(2)`.
`S_(1):A and B cup C` are independent
`S_(2) :A and B cap C` are independent
Then,

A

both `S_(1) and S_(2)` are true

B

only `S_(1)` is true

C

only `S_(2)` is true

D

neither `S_(1)` nor `S_(2)` is true

Verified by Experts

The correct Answer is:

A

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