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.
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.
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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