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# 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 (c) 10 tickets.

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

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Given, Total number of tickets sold = 10,000

Number of prizes awarded = 10

(c) If ten tickets are bought:

Number of tickets not awarded = 10000 - 10 = 9990

$\therefore$ P(not getting a prize) = $\frac{^{9990}\textrm{C}_{10}}{^{10000}\textrm{C}_{10}}$

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