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At a fundraising event, Katie is drawing raffle tickets to determine winners. Katie has already drawn a ticket for the first prize, and will next draw a name for the second prize. $\newline$ 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. At a fundraising event, Katie is drawing raffle tickets to determine winners. Katie has already drawn a ticket for the first prize, and will next draw a name for the second prize.

\newline

Are these two events dependent or independent?

\newline

Choices:

\newline

(A) dependent

\newline

(B) independent

Understand Definitions of Events: 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. Dependent events are those where the outcome of one event does affect the outcome of the other.
Context of Raffle Tickets: In the context of drawing raffle tickets, if the drawing of the first prize ticket does not affect the chances of any particular ticket being drawn for the second prize, then the events are independent. If the tickets are not replaced after each draw, then the events are dependent because the pool of possible tickets to draw from has changed.
Ticket Replacement Assumption: Since the problem does not specify that the ticket is replaced after the first draw, we can assume that the standard procedure for raffle drawings is followed, where each ticket is only drawn once. Therefore, the drawing of the first prize ticket affects the pool of tickets from which the second prize ticket will be drawn.
Events Dependency Conclusion: Based on the assumption that the tickets are not replaced after each draw, the events are dependent. The outcome of the first draw (the first prize ticket being removed from the pool) affects the probability of any remaining ticket being drawn for the second prize.

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