It is a striking fact that the first digits of numbers in legitimate records often follow a distribution known as Benford's Law, shown below. First digit 1 2 3 4 5 6 7 8 9

Proportion 0.305 0.173 0.139 0.074 0.066 0.069 0.041 0.037 0.096

Fake records usually have fewer first digits 1, 2, and 3. What is the approximate probability, if Benford's Law holds, that among 1222 randomly chosen invoices there are no more than 673 in amounts with first digit 1, 2, or 3? (Round your answer to four decimal places.)