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SAT® Subject Test in Math 1 & 2

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Moderate

Probability in the Lottery

SATSTM-XE1C1G

In the Arizona state lottery, a player chooses six different numbers from $1$ to $41$. In order to win the top prize, a player must choose all six numbers correctly (in any order).

What is the probability of winning the top prize in the Arizona lottery?

A

$\cfrac{6}{41}$

B

$\cfrac{720}{4,750,104,241}$

C

$\cfrac{1}{4,496,388}$

D

$\cfrac{1}{236,987}$

E

$\cfrac{6}{231}$