## Welcome to H3 Maths

Blog Support for Growing Mathematicians

### Winning the Lottery – what are the chances?

September21

By the numbers (adapted from The New Zealand Herald)

Lotto balls: 40
Balls needed to win Lotto: 6
Powerball balls: 10
Most common Powerball number drawn: 2

Biggest jackpots

• Biggest Powerball jackpot: \$34.8 million in 2011 (shared by two players).

• Biggest individual Powerball prize: \$28 million in 2010 (won by a single player).

• According to mathematicians, the odds of winning Powerball division one with a standard 10-line ticket are one in 3,838,380 (so it’s not likely to happen to me, even if I did buy a ticket!)

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#### Post Support

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]