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 two ticket.

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Total number of tickets sold $=10,000$

Number of prizes awarded $= 10$

If we buy two tickets, then

Number of tickets not awarded $=10,000-10=9990$

$P ($ not getting a prize $)=\frac{{^{9990}{C_2}}}{{^{10000}{C_2}}}$

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