According to the website of the Lt. Governor of the State of Hawai'i, the state has the highest rate of homelessness per capita in the nation. Unfortunately, the state is also sometimes a target by the homeless from other states who try to get to Hawai'i for its perennial nice weather. Such people are identified and face either being arrested or given a free one-way ticket back to wherever they came from. At one homeless shelter in Hawai'i, there are 16 individuals from New York and 20 from Louisiana. Of these individuals, what is the probability that 8 individuals from New York and 12 from Louisiana accept to be given a free one-way ticket back to where they came from in order to avoid being arrested? Note: If your answer has up to four decimal places, please enter it in the box below without rounding the number. However, if your answer has more than four decimal places, please round your answer to four decimal places