Question 49 of 55intermediate🔧 ApplyShort Answer3 marks

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.

(a)
Answer

999/1000

(b)
Answer

C(9990, 2)/C(10000, 2) = (9990×99899990 \times 9989)/(10000×999910000 \times 9999)

(c)
Answer

C(9990, 10)/C(10000, 10)

Explanation

This question is from the NCERT textbook Exercise on probability. The key concept is finding the probability of NOT getting a prize, which means selecting tickets from the non-prize category. With 10,000 total tickets and 10 prizes, there are 9,990 non-prize tickets. For multiple tickets, we use combinations to find favorable outcomes.