I'm having a tough time with this problem and was hoping someone coule help.
It involves the Mega Millions lotter.
5 numbers are selected from the intergers 1-56 (without replacement) and the special 6th ball is selected from a new set of number 1-46. A winning ticket must have correctly picked the 5 numbers from the first set and the 1 number from the 6th set.
I know the probability of winning with 1 ticket is
The question is, if exactly $200,000,000 is wagered (at $1 per ticket) what is the probability of 2 or fewer winners? And what is the expected number of winners?
Any help would be greatly appreciated.