Liam and Dave see a movie together. Liam picks a chair first, then Dave does. Are these two events dependent or independent? Choices: (A)dependent (B)independent

Understand Definitions: To determine whether the events are dependent or independent, we need to understand the definitions of these terms. Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. Conversely, two events are dependent if the occurrence of one event does affect the probability of the occurrence of the other event.Events Influence: In the context of Liam and Dave picking chairs, if the chair that Liam picks has no influence on the chair that Dave can pick, then the events are independent. However, if the chair that Liam picks does influence the chair that Dave can pick (for example, if Dave cannot pick the same chair as Liam), then the events are dependent.Outcome Dependency: Since Liam picks a chair first, and Dave picks a chair afterward, the chair that Liam picks is no longer available for Dave to pick. This means that Liam's choice affects the options available to Dave. Therefore, the events are dependent because the outcome of the first event (Liam picking a chair) affects the outcome of the second event (Dave picking a chair).

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Liam and Dave see a movie together. Liam picks a chair first, then Dave does. $\newline$ Are these two events dependent or independent? $\newline$ Choices: $\newline$ (A) dependent $\newline$ (B) independent

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Grade 8

Identify independent and dependent events

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Q. Liam and Dave see a movie together. Liam picks a chair first, then Dave does.

\newline

Are these two events dependent or independent?

\newline

Choices:

\newline

(A) dependent

\newline

(B) independent

Understand Definitions: To determine whether the events are dependent or independent, we need to understand the definitions of these terms. Two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. Conversely, two events are dependent if the occurrence of one event does affect the probability of the occurrence of the other event.
Events Influence: In the context of Liam and Dave picking chairs, if the chair that Liam picks has no influence on the chair that Dave can pick, then the events are independent. However, if the chair that Liam picks does influence the chair that Dave can pick (for example, if Dave cannot pick the same chair as Liam), then the events are dependent.
Outcome Dependency: Since Liam picks a chair first, and Dave picks a chair afterward, the chair that Liam picks is no longer available for Dave to pick. This means that Liam's choice affects the options available to Dave. Therefore, the events are dependent because the outcome of the first event (Liam picking a chair) affects the outcome of the second event (Dave picking a chair).