Does choosing a blue marble represent the complement event of choosing a red marble? Explain.
Choosing a blue marble represents the complement event of choosing a red marble
Choosing a blue marble represents the complement event of choosing a red marble. To understand this, we need to define the complement event.
In probability theory, the complement of an event refers to all possible outcomes that are not part of that event. In other words, it includes all the outcomes that are not included in the event of interest.
In this case, the event of interest is choosing a red marble. The complement event would then be the event of not choosing a red marble, but any other color, including blue.
By choosing a blue marble, we are essentially picking an outcome that is not part of the event of choosing a red marble. The complement event consists of all the other possible colors, and one of them is indeed blue.
Therefore, choosing a blue marble represents the complement event of choosing a red marble.
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