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Lottery tickets numbered consecutively from 100 through 999 are placed in a box. Jack picked up one ticket from the box, noted the number, and put the ticket back into the box. Then Rose came and did the same. If both picked tickets were all the digits within the picked number are distinct and prime, then find the probability that the sum of two ticket numbers is odd.
A. \(\dfrac{1}{150\cdot 50}\)
B. \(\dfrac{2}{150\cdot 50}\)
C. \(\dfrac{1}{54}\)
D. \(\dfrac{1}{27}\)
E. \(\dfrac{3}{8}\)
OA E
Lottery tickets numbered consecutively from 100 through 999 are placed in a box. Jack picked up one ticket from the box, noted the number, and put the ticket back into the box. Then Rose came and did the same. If both picked tickets were all the digits within the picked number are distinct and prime, then find the probability that the sum of two ticket numbers is odd.
A. \(\dfrac{1}{150\cdot 50}\)
B. \(\dfrac{2}{150\cdot 50}\)
C. \(\dfrac{1}{54}\)
D. \(\dfrac{1}{27}\)
E. \(\dfrac{3}{8}\)
OA E
