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Josie is shopping for a wedding gift for her friends, who have registered at a department store. Some of the items on the registry have already been purchased by other wedding guests. $\newline$ 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. Josie is shopping for a wedding gift for her friends, who have registered at a department store. Some of the items on the registry have already been purchased by other wedding guests.

\newline

Are these two events dependent or independent?

\newline

Choices:

\newline

(A) dependent

\newline

(B) independent

Understand Definitions: To determine whether the events are dependent or independent, we need to understand the definitions of these terms. Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. Conversely, two events are dependent if the occurrence of one event does affect the probability of the occurrence of the other event.
Wedding Gift Registry: In the context of the wedding gift registry, once an item is purchased by a guest, it is typically removed from the list or marked as purchased. This means that the probability of Josie choosing any particular item is affected by the purchases that other guests have already made. If an item has been purchased, Josie cannot purchase it again (assuming the registry is updated correctly).
Events are Dependent: Since the probability of Josie purchasing a particular item is affected by the actions of other guests, the events are dependent. The purchase of an item by one guest changes the set of available items for the next guest.

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