Mutual Independence for 3 events

[madness26]

how do i prove that A and (B intersection C) are mutually independent?
first of all how do i even read that question, is it read: A union (B intersection C) ??

 

[mathman]

how do i prove that A and (B intersection C) are mutually independent?
first of all how do i even read that question, is it read: A union (B intersection C) ??

To start with you need to know something about A, B, and C.

A and (B intersection C)

describes two events.

A union (B intersection C)

describes one event.

The notion of independence is meaningful only when discussing two or more events. Therefore only the first statement is meaningful.