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Marshall and Dave take turns rolling a die to see who will get to use their family's shared computer. Marshall rolls first. Then, Dave rolls. $\newline$ 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. Marshall and Dave take turns rolling a die to see who will get to use their family's shared computer. Marshall rolls first. Then, Dave rolls.

\newline

Are these two events dependent or independent?

\newline

Choices:

\newline

(A) dependent

\newline

(B) independent

Understand Concepts: 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 situation. $\newline$ Marshall and Dave are rolling a die in turns. The outcome of Marshall's roll does not affect the outcome of Dave's roll, as each roll of a die is a separate event with its own set of possible outcomes.
Determine Event Type: Determine whether the events are dependent or independent. $\newline$ Since the outcome of Marshall's roll does not influence the outcome of Dave's roll, the two events are independent.

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