Download App

STD 11 - 14. probability — Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceMathsSTD 11 - 14. probability1 Mark
MCQ
Two numbers are selected randomly from the set $S = \{1, 2, 3, 4, 5, 6, 7, 8, 9, 10\}$ without replacement one by one. The probability that minimum of the two numbers is divisible by $3$ or maximum of the two numbers is divisible by $4$ , is 
  • A
    $\frac{{23}}{{45}}$
  • B
    $\frac{{37}}{{45}}$
  • C
    $\frac{{16}}{{45}}$
  • ✓
    $\frac{{19}}{{45}}$
✓

Answer

Correct option: D.
$\frac{{19}}{{45}}$
d
$P=\frac{2 \times 19}{10 \times 9}=\frac{19}{45}$

favourable : $\{(3,4),(3,5), \ldots \ldots(3,10)$

${(6,7),(6,8), \ldots . .(6,10)} $

${(9,10)}$ ${(1,4),(2,4)} $

${(1,8),(2,8),(4,8),(5,8),(7,8)\}}$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 11 - 14. probability→STD 11 - 14. probability — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

Find the mean deviation about the mean for the data.
Height in cms Number of boys
$95-105$ $9$
$105-115$ $13$
$115-125$ $26$
$125-135$ $30$
$135-145$ $12$
$145-155$ $10$
→
Let $x_k$ be real numbers such that $x_k \geq k^4+k^2+1$ for $1 \leq k \leq$ 2018. Denote $N=\sum_{k=1}^{2018} k$. Consider the following inequalities.

$I$. $\left(\sum_{k=1}^{2018} k x_k\right)^2 \leq N\left(\sum_{k=1}^{2018} k x_k^2\right)$

$II$. $\left(\sum_{k=1}^{2018} k x_k\right)^2 \leq N\left(\sum_{k=1}^{2018} k^2 x_k^2\right)$ Then,

→
If sets $A$ and $B$ are defined as $\text{A}=\Big\{(\text{x},\text{y})|\text{y}=\frac{1}{\text{x}},0\neq\text{x}\in\text{R}\Big\}\ \text{B}=\{(\text{x},\text{y})|\text{y}=-\text{x},\text{x}\in\text{R}\},$ then
→
In four schools ${B_1},{B_2},{B_3},{B_4}$ the percentage of girls students is $12, 20, 13, 17$ respectively. From a school selected at random, one student is picked up at random and it is found that the student is a girl. The probability that the school selected is ${B_2},$ is
→
If $\text{x}=\text{r}\sin\theta\cos\theta,\text{y}=\text{r}\sin\theta$ and $\text{z}=\text{r}\cos\theta,$ then $\text{x}^2+\text{x}^2+\text{z}^2$ is idepandent of
→
Let $p(n)=x\left(x^{n-1}-n \cdot a^{n-1}+a^n(n-1)\right)$ is divisible by $(x-a)^2$ for:
→
Find the derivative of $ e^{x^2} $:
→
How many numbers lying between $500$ and $600$ can be formed with the help of the digits $1, \,2, \,3, \,4, \,5,\, 6$ when the digits are not to be repeated
→
If $ \text{f(x)} = \text{x} \sin\text{x},$ then $ \text{f}\Big(\frac{Π}{2}\Big)$ is equal to:
→
A circle is given by ${x^2} + {y^2} - 6x + 8y - 11 = 0$ and there are two points $(0, 0)$ and $(1, 8)$. These points lie
→