2.5 Independence

What three mathematical statements are equivalent to the statement that and are independent?
The three mathematical statements which are equivalent to the statement that and are independent are:

Is independence a symmetric relationship?
Yes, independence is a symmetric relationship.

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What is mathematical statement is equivalent to the statement that , , and are mutually independent?
The mathematical statement which is equivalent to the statement that , , and are mutually independent is:

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Are two events with nonzero probability mutually exclusive (disjoint) if they're independent?
No, two events with nonzero probability aren't mutually exclusive if they're independent.

Are mutually exclusive (disjoint) events independent?
No, mutually exclusive (disjoint) events aren't independent.

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