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Two friends, who are getting married in the same month, are shopping for wedding dresses together. They want to be sure not to get the same dress. $\newline$ 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. Two friends, who are getting married in the same month, are shopping for wedding dresses together. They want to be sure not to get the same dress.

\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. In this case, the decision of one friend to choose a particular wedding dress does not affect the probability of the other friend choosing a different dress, as long as they want to avoid choosing the same dress. Therefore, the events are independent.
Events Independence: Since the two friends are making sure not to get the same dress, the choice of one friend does not restrict the choices available to the other friend. Each friend's choice is made without influence from the other's decision, reinforcing the fact that these are independent events.

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