JEE Advanced 2014 Paper 2 Mathematics Q15

Mathematics

Problem

Paragraph for Questions 15 and 16 Box 1 contains three cards bearing numbers 1, 2, 3; box 2 contains five cards bearing numbers 1, 2, 3, 4, 5; and box 3 contains seven cards bearing numbers 1, 2, 3, 4, 5, 6, 7. A card is drawn from each of the boxes. Let xix_i be the number on the card drawn from the ithi^{\mathrm{th}} box, i=1,2,3i=1,2,3. The probability that x1+x2+x3x_1+x_2+x_3 is odd is

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