In a certain lottery $10,000$ tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy $10$ ticket.

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Total number of tickets sold $=10,000$

Number of prizes awarded $= 10$

If we buy $10$ tickets, then

$P ($ not getting a prize $)=\frac{{^{9990}{C_{10}}}}{{^{10000}{C_{10}}}}$

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  • [AIEEE 2012]