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

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Gujarati

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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 $10$ ticket.

A

$\frac{{^{9990}{C_{10}}}}{{^{10000}{C_{10}}}}$

B

$\frac{{^{9990}{C_{10}}}}{{^{10000}{C_{10}}}}$

C

$\frac{{^{9990}{C_{10}}}}{{^{10000}{C_{10}}}}$

D

$\frac{{^{9990}{C_{10}}}}{{^{10000}{C_{10}}}}$

Solution

Total number of tickets sold $=10,000$

Number of prizes awarded $= 10$

If we buy $10$ tickets, then

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

Standard 11

Mathematics

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