Lottery mathematics a game is Mega Millions, albeit with different jackpot odds. Where more than 1 powerball is drawn from a separate pool of balls to the main lottery (for example, in the EuroMillions game), the odds of the different possible powerball matching scores are calculated using the method shown in the "other scores" section above (in other words, the powerballs are like a mini-lottery in their own right), and then multiplied by the odds of achieving the required main-lottery score. If the powerball is drawn from the "same" pool of numbers as the main lottery, then, for a given target score,
Lottery mathematics bonus ball from a separate pool of formula_35 balls is: formula_36 The general formula for formula_13 matching balls in a formula_11 choose formula_12 lottery with no bonus ball from a separate pool of formula_35 balls is: formula_41 It is a hard (and often open) problem to calculate the minimum number of tickets one needs to purchase to guarantee that at least one of these tickets matches at least 2 numbers. In the 5-from-90 lotto, the minimum number of tickets that can guarantee a ticket with at least 2 matches is 100. As a discrete probability space, the probability of any