In a set of 24 cards, each card is numbered with a different positive integer from 1 to 24. One card will be drawn at random from the set. What is the probability that the card drawn will have either a number that is divisible by both 2 and 3 or a number that is divisible by 7 ?
~$\frac{3}{24}$~
~$\frac{4}{24}$~
~$\frac{7}{24}$~
~$\frac{8}{24}$~
~$\frac{17}{24}$~