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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.
The reason they are independent 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. Picking a number between 1,000 and 5,000 does not change the probability of the coin landing on heads or tails, and flipping a coin does not change the probability of picking a number within the given range. Therefore, the two events are independent of each other.