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Eve and Kiera are preparing to play a board game together. Eve chooses one of $6$ colored tokens to use as her marker. Kiera chooses 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

Full solution

Q. Eve and Kiera are preparing to play a board game together. Eve chooses one of

6

colored tokens to use as her marker. Kiera chooses next.

\newline

Are these two events dependent or independent?

\newline

Choices:

\newline

(A) dependent

\newline

(B) independent

Understand Events: Understand the concept of independent and dependent events. 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.
Analyze Situation: Analyze the given situation. $\newline$ Eve chooses one of $6$ colored tokens. The choice of Eve's token does not affect the range of choices available to Kiera, assuming each color can only be chosen once. If Kiera were to choose without knowing Eve's choice, the probability of her choosing any particular color would still be the same.
Determine Event Type: Determine the type of events based on the analysis. $\newline$ Since Kiera's choice of token is not affected by Eve's choice, the events are independent.

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