Two numbers are chosen at random from {1, 2, | vedclass

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

Question

(C) Total number of ways to choose $2$ numbers from $8$ is ${}^8C_2 = \frac{8 	imes 7}{2} = 28$. Let the two numbers be $x$ and $y$ such that $x < y$

Vedclass · Accepted Answer

$\frac{9}{14}$

Vedclass · Answer

(C) Total number of ways to choose $2$ numbers from $8$ is ${}^8C_2 = \frac{8 	imes 7}{2} = 28$. Let the two numbers be $x$ and $y$ such that $x Case $I$: If $x = 1$,then $y$ can be any of the remaining $7$ numbers $\{2, 3, 4, 5, 6, 7, 8\}$. Number of ways $= 7$. Case $II$: If $x = 2$,then $y$ can be any of the remaining $6$ numbers $\{3, 4, 5, 6, 7, 8\}$. Number of ways $= 6$. Case $III$: If $x = 3$,then $y$ can be any of the remaining $5$ numbers $\{4, 5, 6, 7, 8\}$. Number of ways $= 5$. Total favorable cases $= 7 + 6 + 5 = 18$. Required probability $= \frac{18}{28} = \frac{9}{14}$.

Two numbers are chosen at random from $\{1, 2, 3, 4, 5, 6, 7, 8\}$ at a time. The probability that the smaller of the two numbers is less than $4$ is

Similar Questions

If $\alpha$ and $\beta$ are the roots of the equation $2x^2 - 35x + 2 = 0$,then the value of $(2\alpha - 35)^3 \cdot (2\beta - 35)^3$ is equal to ......

How many major groups have recent researchers classified the plant kingdom into?

What are plasmodesmata?

$A$ conductor of resistance $3 \Omega$ is stretched uniformly until its length is doubled. The wire is now bent in the form of an equilateral triangle. The effective resistance between the ends of any side of the triangle in ohms is

The relation "congruence modulo $m$" is

Vedclass Test Series

Exam Paper Generator

Online Exam Module