Does choosing a blue marble represent the complement event of choosing a red marble? Explain.
No, choosing a blue marble does not represent the complement event of choosing a red marble
No, choosing a blue marble does not represent the complement event of choosing a red marble. To understand this, we need to define complement events.
In probability theory, the complement of an event refers to all the outcomes that are not part of the event. Complement events are mutually exclusive, meaning that if one event occurs, the other cannot occur simultaneously.
In this scenario, let’s say we have a bag of marbles, some red and some blue. The event of choosing a red marble consists of all the outcomes where a red marble is selected from the bag.
The complement event of choosing a red marble would be all the outcomes where a red marble is not selected. In other words, if one were to choose a marble from the bag but not get a red marble, it means getting a blue marble or any other color that is not red.
So, choosing a blue marble represents one outcome of the complement event (where the outcome is a non-red marble). However, the complement event includes all non-red outcomes, including marbles of different colors or even marbles of different objects if there are any.
To summarize, choosing a blue marble is one specific outcome of the complement event (non-red outcomes), but it does not completely represent the entire complement event as it can include other colors and objects as well.
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