Mattymatts2879 Mattymatts2879

25-08-2018
Mathematics

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A certain state's lottery consists of choosing 6 numbers at random without replacement from the set {1, 2, 3, , 40}. what is the probability that rachael, who has played the lottery this week, wins the jackpot

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konrad509 konrad509

25-08-2018

[tex] |\Omega|=C(40,6)=\dfrac{40!}{6!34!}=\dfrac{35\cdot36\cdot37\cdot38\cdot39\cdot40}{2\cdot3\cdot4\cdot5\cdot6}=3,838,380\\
|A|=1\\\\
P(A)=\dfrac{1}{3,838,380} [/tex]

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