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SAT® Subject Test in Math 1 & 2

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Lottery Odds

SATSTM-9799KK

Powerball is a lottery game that is played in $42$ states. The game is played by drawing five white balls out of a drum of $55$ white balls (numbered $1-55$) and one red Powerball out of a drum of $42$ red balls (numbered $1-42$). The jackpot is won by matching all five white balls in any order and the red Powerball.

If you were to buy one ticket for Powerball, then what is your probability of winning the jackpot?

A

$\cfrac{1}{2,170,746,864}$

B

$\cfrac{1}{146,107,962}$

C

$\cfrac{1}{5,613,905}$

D

$\cfrac{1}{239,087}$

E

$\cfrac{1}{356}$