In a certain lottery 10,000 tickets are sold and ten equal prizes are awarded. probability of not ge

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14.Probability

easy

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.

A

$\frac{{^{9990}{C_2}}}{{^{10000}{C_2}}}$

B

$\frac{{^{9990}{C_2}}}{{^{10000}{C_2}}}$

C

$\frac{{^{9990}{C_2}}}{{^{10000}{C_2}}}$

D

$\frac{{^{9990}{C_2}}}{{^{10000}{C_2}}}$

Solution

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 $)=\frac{{^{9990}{C_2}}}{{^{10000}{C_2}}}$

Standard 11

Mathematics

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