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 The probability that x1,x2,x3 are in an aritmetic progression is
A.
29
105
B.
53
105
C.
57
105
D.
1
2
Select the correct answer from above options