SOLUTION: Five cards numbered with digits 3,4,6,7,8 are shuffled and laid in a row to make a 5 digit number. The probability that this number is divisible by 9 is
The sum of the digits is 3 + 4 + 6 + 7 + 8 = 28.
This number, 28, is not divisible by 9.
Therefore, any number written as a permutation of these 5 digits, IS NOT DIVISIBLE by 9.
Therefore, the answer regarding the probability is 0 (zero, ZERO).