In a certain lottery,10,000 tickets are sold | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) Total number of tickets $= 10,000$. Number of prize-winning tickets $= 10$. Number of non-prize-winning tickets $= 10,000 - 10 = 9,990$. We buy $1

Vedclass · Accepted Answer

$\frac{^{9990}C_{10}}{^{10000}C_{10}}$

Vedclass · Answer

(A) Total number of tickets $= 10,000$. Number of prize-winning tickets $= 10$. Number of non-prize-winning tickets $= 10,000 - 10 = 9,990$. We buy $10$ tickets. The total number of ways to choose $10$ tickets out of $10,000$ is $^{10000}C_{10}$. The number of ways to choose $10$ tickets such that none of them are prize-winning is choosing $10$ tickets from the $9,990$ non-prize-winning tickets,which is $^{9990}C_{10}$. Therefore,the probability of not getting a prize is $P = \frac{^{9990}C_{10}}{^{10000}C_{10}}$.

In a certain lottery,$10,000$ tickets are sold and $10$ equal prizes are awarded. What is the probability of not getting a prize if you buy $10$ tickets?

Similar Questions

Three numbers are chosen from $1$ to $30$. The probability that the minimum number is $10$ and the maximum number is $26$ is

Five horses are in a race. $Mr. A$ selects two of the horses at random and bets on them. The probability that $Mr. A$ selected the winning horse is

$A$ total of $13$ people,consisting of $5$ women and $8$ men,have applied for a job. If $2$ people are to be selected from these $13$ people,what is the probability that at least one woman is selected?

There are $4$ hotels in a town. If $3$ men check into the hotels in a day,then the probability that each checks into a different hotel is

$A$ box contains $10$ red balls and $15$ green balls. If two balls are drawn in succession without replacement,then the probability that one is red and the other is green is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module