Class 12

Math

Algebra

Probability I

Box 1 contains three cards bearing numbers, 1, 2, 3, box 2 contains five cards bearing number 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 $x_{i}$ be the number on the card drawn from the $i_{th}$ box, i = 1, 2, 3.

The probability that $x_{1}+x_{2}+x_{3}$ is odd, is