Question: Twice a week, the State of Michigan runs a 6 out of 49 number lotto that pays at least $2 million. The State needs to know the probabilities of winning in order to ensure that the lottery has ample reserves for the payouts. You purchase a card for $1 and pick any 6 numbers from 1 to 49. If your numbers match those that the state draws, you win. How many 6-number combinations are there for the drawing? If you buy one ticket, what is your probability of winning (6 out of 6)?