Question 319081
In New York's Millennium Millions Lottery game, five numbers from 1 to 50 and one number for the Big Millennium Ball from 1 to 30 must be selected. There is one jackpot prize for the ticket with the six numbers that match the six randomly selected numbers. What are the odds against winning the jackpot?
----
# of ways to get the 5 winning numbers: 1
# of ways to pick 5 numbers from 30: 30C5 = 142506
---------------
Probability of getting the winning 5 numbers: 1/142506
--------------
Probability of getting the correct Millennium Ball: 1/30
--------------------------
P(winning the jackpot) = (1/142506)(1/30) = 1/4,275,180
---
P(not winning the jackpot) = 4275179/4275180
----
Odds against winning = P(not win)/P(win) = 4,275,179:1
==========================================================
Cheers,
Stan H.