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Darrell spins a spinner. At the same time, Logan rolls a $20$ -sided die. $\newline$ Are these two events dependent or independent? $\newline$ $\newline$ Choices: $\newline$ (A)dependent $\newline$ (B)independent

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Identify independent and dependent events

Full solution

Q. Darrell spins a spinner. At the same time, Logan rolls a

20

-sided die.

\newline

Are these two events dependent or independent?

\newline

\newline

Choices:

\newline

(A)dependent

\newline

(B)independent

Check Independence: To determine whether two events are dependent or independent, we need to check if the outcome of one event affects the outcome of the other event. In this case, Darrell spinning a spinner and Logan rolling a $20$ -sided die are two separate actions that do not influence each other. The result of the spinner does not change the probabilities of the outcomes on the die, and vice versa.
Analyze Outcomes: Since the outcome of one event does not affect the outcome of the other, we can conclude that these two events are independent.

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