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JEE Advanced Mathematics question

MathematicsProbabilityJEE Advanced

The probabilities that a student passes in mathematics, physics and chemistry are , and respectively. Of these subjects, a student has a 75% chance of passing in at least one, a 50% chance of passing in at least two, and a 40% chance of passing in exactly two subjects. Which of the following relations are true?

Answer: (B),(C)

Solution

Let be the number of subjects passed. From the data: - -

**Sum.** , where , , are the pass indicators. So , which holds with or without independence:

m+p+c=1(0.25)+2(0.40)+3(0.10)=1.35=Missing argument for \frac\frac{27

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Question ID VK-109785