The game called Lotto sponsored by the Louisiana Lottery Commission pays its largest prize when a contestant matches all 6 of the 40 possible numbers. Assume there are 40 ping-pong balls each with a single number between 1 and 40. Any number appears only once, and the winning balls are selected without replacement.

(a) The commission reports that the probability of matching all the numbers are 1 in 3,838,380. What is this in terms of probability? (Round your answer to 8 decimal places.)