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You pick a number between 1,000 and 5,000. Then you flip a coin.

Identify if the two events are independent or dependent. Explain.

The two events are independent. This is because the outcome of picking a number between 1,000 and 5,000 does not affect the outcome of flipping a coin, and vice versa. The result of one event does not influence the result of the other event in any way, making them independent of each other.