Three numbers are chosen at random from 1 to | vedclass

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

Question

Required probability

$ = \frac{{{\,^{13}}{C_3}}}{{{\,^{15}}{C_3}}} = \frac{{\frac{{13 	imes 12 	imes 11 	imes 10!}}{{3! 	imes 10!}}}}{{\frac{{1

Vedclass · Accepted Answer

$\frac{{22}}{{35}}$

Vedclass · Answer

Required probability

$ = \frac{{{\,^{13}}{C_3}}}{{{\,^{15}}{C_3}}} = \frac{{\frac{{13 	imes 12 	imes 11 	imes 10!}}{{3! 	imes 10!}}}}{{\frac{{15 	imes 14 	imes 13 	imes 12!}}{{3! 	imes 12!}}}}$

$=\frac{13 	imes 12 	imes 11}{15 	imes 14 	imes 13}=\frac{12 	imes 11}{15 	imes 14}=\frac{22}{35}$

Three numbers are chosen at random from $1$ to $15$ . The probability that no two numbers are consecutive, is

Similar Questions

Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices is equilateral, is equal to

The number lock of a suitcase has $4$ wheels, each labelled with ten digits i.e., from $0$ to $9 .$ The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the right sequence to open the suitcase?

Out of $100$ students, two sections of $40$ and $60$ are formed. If you and your friend are among the $100$ students, what is the probability that You both enter the different sections?

If $m$ rupee coins and $n$ ten paise coins are placed in a line, then the probability that the extreme coins are ten paise coins is

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