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A box contains different-colored marbles. If P(blue) = P(green) = and P(blue and green) = which

4
stalement is true?
O The events are independent because P(blue) P(green) = P(blue and green).
O The events are independent because P(blue) P(green) P(blue and green).
O The events are dependent because P(blue) P(green) = P(blue and green).
O The events are dependent because P(blue) P(green) P(blue and green).
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User Swapneel
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1 Answer

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Final answer:

The events are dependent because the probability of the intersection is not equal to the product of the individual probabilities.


Step-by-step explanation:

The statement that is true is that the events are dependent because P(blue) * P(green) = P(blue and green). When two events are independent, the probability of their intersection is equal to the product of their individual probabilities. However, in this case, the probability of the intersection is not equal to the product of the individual probabilities, indicating that the events are dependent.


Learn more about Probability and Independent vs. Dependent Events

User Compman
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