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Scarlett, an employee at a marketing company, is conducting phone surveys of randomly selected people. On the first phone call, the random dialing system connects Scarlett with someone named Regan. On the next phone call, the random dialing system connects Scarlett with someone named Gabrielle. $\newline$ Are these two events dependent or independent? $\newline$ Choices: $\newline$ (A) dependent $\newline$ (B) independent

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Identify independent and dependent events

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Q. Scarlett, an employee at a marketing company, is conducting phone surveys of randomly selected people. On the first phone call, the random dialing system connects Scarlett with someone named Regan. On the next phone call, the random dialing system connects Scarlett with someone named Gabrielle.

\newline

Are these two events dependent or independent?

\newline

Choices:

\newline

(A) dependent

\newline

(B) independent

Understand Events: Understand the nature of the events. Scarlett is making phone calls to randomly selected people using a random dialing system. The first call connects her to Regan, and the second call connects her to Gabrielle. We need to determine if the outcome of the first call affects the outcome of the second call. Since each call is made using a random dialing system and the selection of one person does not remove them from the pool of potential people to be called again, the outcome of the first call should not affect the outcome of the second call.
Define Dependency: Define the events' dependency. If the outcome of one event does not affect the outcome of another, then the events are independent. Since the first call to Regan does not affect the probability of the second call connecting to Gabrielle, we can conclude that the events are independent.
Choose Correct Answer: Choose the correct answer based on the analysis. The two events are independent because the outcome of the first call does not influence the outcome of the second call. Therefore, the correct choice is (B) independent.

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