Answer:
Explanation:
Here is a step-by-step explanation of the independence of the pair of events of choosing a number between 1000 and 5000 and flipping a coin:
Understanding the definition of independent events: Independent events are events that have no influence on each other. The outcome of one event does not affect the outcome of the other.
Event 1: Choose a number between 1000 and 5000: This event involves randomly selecting a number within the specified range.
Event 2: Flip a coin: This event involves flipping a coin and observing whether it lands on heads or tails.
Check for influence: To determine whether the events are independent, we need to check if the outcome of one event affects the outcome of the other. In this case, the outcome of the coin flip has no effect on the number you choose, and your choice of number has no effect on the outcome of the coin flip.
Conclusion: Since the outcome of one event does not affect the outcome of the other, the pair of events of choosing a number between 1000 and 5000 and flipping a coin are considered independent.
So, the pair of events of choosing a number between 1000 and 5000 and flipping a coin are independent events.