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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 one ticket.

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Question

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.

Sum
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Solution

Number of tickets that are not getting a prize

= 10000 – 10

= 9990

∵ Total number of tickets = 10000

Total ways in which a ticket will not get a prize

=  9990C1

= 9990

Whereas total possible outcomes = 10,000

Probability of not getting a prize with a ticket

= `9990/10000`

= `999/1000`

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Concept of Probability - Probability of 'Not', 'And' and 'Or' Events
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Chapter 14: Probability - Miscellaneous Exercise [Page 311]

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NCERT Mathematics [English] Class 11
Chapter 14 Probability
Miscellaneous Exercise | Q 4. (i) | Page 311

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