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

Identify $A, B$ and $C$ in the following reactions:
$CH_3 Cl$ $\xrightarrow{KCN} A$ $\xrightarrow{H_3 O^{\oplus}} B$ $\xrightarrow{C_2 H_5 OH / H^{+}, \Delta} C$

Which of the following orders is correct for the property mentioned in brackets?

What does the given figure represent?

Calculate the strength of $20 \, V \, H_2O_2$ in $g/L$.

$A$ person with blood group $AB$ is considered a universal recipient because they have:

Vedclass Test Series

Exam Paper Generator

Online Exam Module