If Mohan has 3 tickets of a lottery containin | vedclass

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

Question

(A) Total number of tickets $= 3 + 9 = 12$. Mohan selects $3$ tickets out of $12$. The total number of ways to select $3$ tickets is ${}^{12}C_3 = \fr

Vedclass · Accepted Answer

$\frac{34}{55}$

Vedclass · Answer

(A) Total number of tickets $= 3 + 9 = 12$. Mohan selects $3$ tickets out of $12$. The total number of ways to select $3$ tickets is ${}^{12}C_3 = \frac{12 	imes 11 	imes 10}{3 	imes 2 	imes 1} = 220$. Mohan wins at least one prize if he does not get all $3$ blanks. The number of ways to select $3$ blanks out of $9$ is ${}^9C_3 = \frac{9 	imes 8 	imes 7}{3 	imes 2 	imes 1} = 84$. The probability of getting no prize is $P(	ext{no prize}) = \frac{84}{220} = \frac{21}{55}$. The probability of winning at least one prize is $1 - P(	ext{no prize}) = 1 - \frac{21}{55} = \frac{34}{55}$.

If Mohan has $3$ tickets of a lottery containing $3$ prizes and $9$ blanks,then his chance of winning at least one prize is

Similar Questions

Out of $40$ consecutive integers, two integers are drawn at random. The probability that their sum is odd is

From a group of $10$ men and $5$ women,a four-member committee is to be formed such that it must contain at least one woman. The probability that the committee has more women than men is:

$A$ bag contains $4$ red,$5$ white,and $6$ black balls. If three balls are drawn at random,what is the probability that they are of different colors?

$A$ container contains nine balls: three red,four blue,and two green. If three balls are selected at random from the container without replacement,what is the probability that all three balls are of different colors?

Three mangoes and three apples are in a box. If two fruits are chosen at random,the probability that one is a mango and the other is an apple is

Vedclass Test Series

Exam Paper Generator

Online Exam Module