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 xi be the number on the card drawn from the ith box, i=1,2,3.The probability that x1+x2+x3 is odd, is

Box 1 contains three cards bearing numbers 1,2,3; box 2 contains five

1.	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 xi be the number on the card drawn from the ith box, i=1,2,3.The probability that x1+x2+x3 is odd, is
Answer» 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 $x_{i}$ be the number on the card drawn from the $i^{t h}$ box, $i = 1, 2, 3.$ The probability that $x_{1} + x_{2} + x_{3}$ is odd, is