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

Monjur Alahi

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
(a) one ticket

(b) two tickets

(c) 10 tickets?


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Salim Ahmed Kawsar

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Total number of tickets sold = 10,000

Number prizes awarded = 10
(i) If we buy one ticket, then

P (getting a prize) = 10/10000=1/1000

∴ P (not getting a prize) =  1-1/1000 = 999/1000

(ii) If we buy two tickets, then
Number of tickets not awarded = 10,000 − 10 = 9990

P (not getting a prize) = 9990C2 / 10000C2

(iii) If we buy 10 tickets, then
P (not getting a prize) = 9990C10 / 10000C10

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