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GRE
GRE Quantitative Reasoning Section

Comparing Probabilities of Events A and B

Very Hard Data Analysis Probability

In a certain experimental study, 3 red balls, 4 blue balls, and 5 green balls are placed in a bag. The experiment randomly selects two balls from the bag without replacement. Let event A be the event that both balls selected are of the same color, and let event B be the event that at least one of the balls selected is blue.

What is the relationship between the probabilities of event A and event B?

Hint

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