Two real numbers, x & y are selected at random. Given that 0 ≤ x ≤ 1 ; 0 ≤ y ≤ 1 . Let A…
Mathematics · JEE Advanced · NTA Exams — Statistics and Probability
Two real numbers, x & y are selected at random. Given that 0 ≤ x ≤ 1 ; 0 ≤ y ≤ 1 . Let A be the event that y2 ≤ x ; B be the event that x2 ≤ y, then :
- P (A ∩ B) = \(\frac{1}{3}\)
- A & B are exhaustive events
- A & B are mutually exclusive
- A & B are independent events.
Answer
(A) P (A ∩ B) = 1 3, (B) A & B are exhaustive events
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