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, picking a number between 1,000 and 5,000 and flipping a coin, are independent events.
Two events are considered independent if the outcome of one event does not influence the outcome of the other event. In this scenario, picking a number between 1,000 and 5,000 does not impact the outcome of flipping a coin, and flipping a coin does not influence the range of numbers that can be picked.
The outcome of picking a number between 1,000 and 5,000 is determined solely by chance within that specified range. Similarly, the outcome of flipping a coin is determined randomly and is not affected by the number range.
Therefore, the two events, picking a number and flipping a coin, are independent events.