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A third grade teacher is assigning parts for the class play. Spencer's role will be selected first, and Chandler will be assigned a role next. $\newline$ 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. A third grade teacher is assigning parts for the class play. Spencer's role will be selected first, and Chandler will be assigned a role next.

\newline

Are these two events dependent or independent?

\newline

Choices:

\newline

(A) dependent

\newline

(B) independent

Understand Events: Understand the concept of dependent and independent events. Dependent events are those where the outcome of one event affects the outcome of another event. Independent events are those where the outcome of one event does not affect the outcome of another event.
Analyze Situation: Analyze the given situation. $\newline$ In the context of assigning roles for a class play, if there is a limited number of roles and Spencer's selection removes one option from the pool of available roles, then Chandler's selection would be dependent on Spencer's selection. However, if there are enough roles for each student or if the roles are not limited, then Chandler's selection would not be affected by Spencer's selection, making the events independent.
Determine Dependency: Determine whether the events are dependent or independent based on the given information. $\newline$ Since the problem does not specify whether the number of roles is limited or if the selection of one role affects the availability of roles for the next student, we cannot definitively conclude whether the events are dependent or independent without additional information.

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