To determine which option represents a dependent event, we need to understand the difference between dependent and independent events:
- Independent Events: The outcome of one event does not affect the outcome of another event.
- Dependent Events: The outcome of one event does affect the outcome of another event.
Given the options:
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Riding your bike, given that it is a sunny day: This does not represent an event involving dependence between two separate outcomes.
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Picking 2 snacks from the pantry without looking and keeping the first one before selecting the second one: This is a dependent event because the selection of the second snack depends on the first snack picked (there's one less snack available for the second pick).
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Selecting a number from a set of number cards and putting it back because it was not an even number: This represents an independent event because putting the card back means that the selection for the next draw is not affected by the outcome of the first draw.
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Picking 2 snacks from the pantry and replacing the first one before selecting another one: This represents an independent event because replacing the first snack restores the total number of snacks, making the second selection independent of the first.
Based on this analysis, the correct answer representing a dependent event is:
Picking 2 snacks from the pantry without looking and keeping the first one before selecting the second one.
1 answer