For a score of n (for example, if 3 choices match three of the 6 balls drawn, then n 3 ( 6 n ) displaystyle 6 choose n describes the odds of selecting n winning numbers from the 6 winning numbers.

Thus for each of the 49 ways of choosing the first number there are 48 different ways of choosing the second.Or 720 orders in which they could be drawn.Endaligned References edit External links edit.Organizations that run lotteries are quite aware of the mathematics involved and set the ticket prices and payout levels such that the expected value of your ticket is always less than face value.M -match, a set of m specific numbers that appear on a ticket.49-6)!, or more generally as ( n k ) n!So if the lottery were to award prizes for matching two numbers form the winning ticket, you would be guaranteed to win that prize if you bought the above three tickets.Since 1, 851, 200 textstyle 1,851,150cdot frac 443172,!200, the probability of obtaining the score of 2 and the bonus ball is 172, 200 ( 49 6 ).231 textstyle frac 172,20049 irish lottery monday millions plus results checker choose 6frac.231, approximate decimal odds of 1.2.C( n, k ) The number of ways in which k items can be selected from a set of n items without regard to order.For the rest of this article, we will use the notation ( n k ) displaystyle n choose.The most trivial lottery wheel is every possible ticket, since this would obviously guarantee that you would win every possible prize, including the jackpot.This series of articles concerns itself with the problem of finding small lottery wheels that will guarantee a match of m numbers from any drawn ticket.Each ticket we purchase costs money, so we want to generate a lottery wheel that is as small as possible while still guaranteeing a win of some minimum desired prize.

This can be written in a general form for all lotteries as: ( K B ) ( N K K B ) ( N K ) displaystyle K choose BN-K choose K-B over N choose K where N displaystyle N is the number of balls.

In reality, how to deal 7 card stud poker of course, lottery wheels are not an effective get-rich-quick scheme.

Monopoly Gold, win up to 50,000, odds: 1.49.