In a lottery,there were 90 tickets numbered 1 | vedclass

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

Question

(A) Total number of ways to draw $5$ tickets from $90$ is $^{90}C_5$. We need to select $2$ specific tickets ($15$ and $89$) and $3$ other tickets fro

Vedclass · Accepted Answer

$\frac{2}{801}$

Vedclass · Answer

(A) Total number of ways to draw $5$ tickets from $90$ is $^{90}C_5$. We need to select $2$ specific tickets ($15$ and $89$) and $3$ other tickets from the remaining $88$ tickets. The number of favorable outcomes is $^{2}C_2 	imes ^{88}C_3$. The probability $P = \frac{^{2}C_2 	imes ^{88}C_3}{^{90}C_5} = \frac{1 	imes \frac{88 	imes 87 	imes 86}{3 	imes 2 	imes 1}}{\frac{90 	imes 89 	imes 88 	imes 87 	imes 86}{5 	imes 4 	imes 3 	imes 2 	imes 1}} = \frac{88 	imes 87 	imes 86}{6} 	imes \frac{120}{90 	imes 89 	imes 88 	imes 87 	imes 86} = \frac{120}{90 	imes 89 	imes 6} = \frac{20}{90 	imes 89} = \frac{2}{9 	imes 89} = \frac{2}{801}$.

In a lottery,there were $90$ tickets numbered $1$ to $90$. Five tickets were drawn at random. What is the probability that two of the tickets drawn are numbered $15$ and $89$?

Similar Questions

If a person throws $3$ dice,what is the probability that the sum of the numbers obtained is exactly $15$?

$A$ coin is tossed $2n$ times. The chance that the number of times one gets head is not equal to the number of times one gets tail is

Four cards are drawn at random from a pack of playing cards. The probability of getting exactly two cards from the same suit and the remaining two cards from two different suits is

$A$ bag contains $6$ white and $4$ black balls. $A$ die is rolled once and the number of balls equal to the number obtained on the die are drawn from the bag at random. The probability that all the balls drawn are white is:

$A$ box contains $6$ bottles of $V_1$ drink,$3$ bottles of $V_2$ drink and $4$ bottles of $V_3$ drink. If three bottles are drawn at random,then the probability that the three are not of the same variety is

Vedclass Test Series

Exam Paper Generator

Online Exam Module