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During P.E. class, one team is picking softball gloves from the class bucket. Paula chooses a glove first, followed by Levi. $\newline$ Are these two events dependent or independent? $\newline$ Choices: $\newline$ (A) dependent $\newline$ (B) independent

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Identify independent and dependent events

Full solution

Q. During P.E. class, one team is picking softball gloves from the class bucket. Paula chooses a glove first, followed by Levi.

\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. Independent events are those where the outcome of one event does not affect the outcome of another event. Dependent events are those where the outcome of one event does affect the outcome of the other event.
Define Events: In the context of choosing softball gloves, if the choice of one glove by Paula does not affect the choice of a glove by Levi, then the events are independent. However, if the choice of one glove by Paula affects the choice available to Levi, then the events are dependent.
Apply to Scenario: Since the problem states that they are picking gloves from the same bucket, once Paula chooses a glove, there is one less glove available for Levi to choose from. This means that Paula's choice affects Levi's choice, making the events dependent.

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