Consider the Mega Million Lottery (first 5 numbers from 1-56 and the last one N6 from 1-46, (N1, N2, N3, N4, N5, N6), and assume that instead of selecting the five numbers (from 1 - 56) all at once (so that none are the same), the winning numbers for first five are chosen by the lottery as follows:
Numbers are selected one at a time. Each time a number is selected, it is placed back in the urn, so that each number, independently, is equally likely to be 1 - 56.
Calculate the probability that if you play once a day for 50 years, you never win.