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Greta and Luca pick out seats at the school orchestra concert. Greta picks first, then it is Luca's turn. $\newline$ 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. Greta and Luca pick out seats at the school orchestra concert. Greta picks first, then it is Luca's turn.

\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 situation. $\newline$ Since Greta picks a seat first, the seat she chooses will no longer be available for Luca to choose from. This means that the outcome of Greta's choice affects the options available for Luca's choice.
Determine Dependency: Determine whether the events are dependent or independent. $\newline$ Based on the analysis in Step extbf{ $2$ }, we can conclude that the events are dependent because Greta's choice of seat influences the choices available to Luca.

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