A bucket contains 3 red balls, 4 yellow balls, and 5 purple balls.  One ball is taken from the bucket and is not replaced.  Another ball is taken from the bucket.  Are the events of pulling a red ball first and then a purple one independent or dependent?

Fill in the blank(s) with the appropriate word(s).


dependent

Rationale: The sample space of the first event is 12 balls, but the sample space of the second event is now 11 balls (because the first ball is not replaced).  Therefore, the events are dependent.

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Fill in the blank(s) with the appropriate word(s).

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