JEE Advanced 2026 Mathematics question
Suppose that Box I contains 6 red balls and 9 green balls, and Box II contains 8 red balls and 12 green balls. All the balls of Box I and Box II are mixed together and a ball is chosen at random from them. Let be the event that the ball chosen belonged to Box I and let be the event that the ball chosen belonged to Box II. Let be the event that the ball chosen is red and let be the event that the ball chosen is green. Then which of the following statements is (are) TRUE ?
Answer: (A),(C)
Solution
There are 35 balls: , , , . (A) : independent, true. (B) $ =
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