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In Ms. Li's class, the students pick unique numbers from a hat to decide the order in which they will present their group projects. David picks a number first, and Alexandra picks second. $\newline$ Are these two events dependent or independent? $\newline$ Choices: $\newline$ (A) dependent $\newline$ (B) independent

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Identify independent and dependent events

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Q. In Ms. Li's class, the students pick unique numbers from a hat to decide the order in which they will present their group projects. David picks a number first, and Alexandra picks second.

\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. 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 another event. In this scenario, we need to consider whether David's pick influences Alexandra's pick.
Consider David's Pick: Since David picks a number first, the number of choices Alexandra has is one less than the total number of numbers in the hat. This means that David's pick affects the options available to Alexandra. Therefore, the events are not independent; they are dependent because the outcome of the first event (David's pick) affects the outcome of the second event (Alexandra's pick).

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