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 one ticket.

A

$\frac{999}{1000}$

B

$\frac{999}{1000}$

C

$\frac{999}{1000}$

D

$\frac{999}{1000}$

Solution

Total number of tickets sold $=10,000$

Number of prizes awarded $= 10$

If we buy one ticket, then $P($ getting a prize $)=\frac{10}{10000}=\frac{1}{1000}$

$\therefore$ $ P($ not getting a prize $)=1-\frac{1}{1000}=\frac{999}{1000}$

Standard 11

Mathematics

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(JEE MAIN-2021)