,

,

and

. Paragraph For Questions (i) and (ii) 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 th box, i = 1, 2, 3. (i). The probability that x 1 + x 2 + x 3 is odd, is (ii). The probability that x 1 , x 2 , x 3 are in an arithmetic progression, is