You pick a number between 1,000 and 5,000. Then you flip a coin. Identify if these two events are independent or dependent. Explain.

Answer 1

The two events are independent. The number chosen and the result of the coin flip do not have any influence on each other. The result of the coin flip is completely random and does not affect the probability of selecting any particular number between 1,000 and 5,000. Likewise, the selection of a number does not influence the outcome of the coin flip. Therefore, the two events are independent of each other.