Download App

STD 12 - 13. probability — JEE STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceJEESTD 12 - 13. probability4 Marks
MCQ
A six faced fair dice is thrown until $2$ comes, then the probability that $2$ comes in even number of trials is (dice having six faces numbered $1, 2, 3, 4, 5$ and $6$)
  • A
    $\frac {1}{6}$
  • B
    $\frac {5}{6}$
  • C
    $\frac {6}{11}$
  • ✓
    $\frac {5}{11}$
✓

Answer

Correct option: D.
$\frac {5}{11}$
d
$P(z)=\frac{1}{6} \quad P(\bar{z})=\frac{5}{6}$

$\therefore \quad \mathrm{P}(2 \text { comes in even trial })$

${=\mathrm{P}(\bar{z} \mathrm{z} \text { or } \bar{z} \bar{z} \bar{z} z \text { or } \ldots \ldots \ldots \infty)} $

${=\frac{5}{6} \times \frac{1}{6}+\left(\frac{5}{6}\right)^{3} \cdot \frac{1}{6}+\ldots \ldots \infty} $

${=\frac{5}{6} \times \frac{1}{6}} $

${=\frac{\frac{5}{6} \times \frac{1}{6}}{1-\left(\frac{5}{6}\right)^{2}}=\frac{5}{11}}$

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

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

If $f(1) = 1$ and $f'(1) = 4,$ then the value of $\mathop {\lim }\limits_{x \to 1} \frac{{\sqrt {f(x)} - 1}}{{\sqrt x - 1}}$ is
→
Let $A$ be a square matrix of order $2$ such that $|A|=2$ and the sum of its diagonal elements is $-3$ . If the points $(x, y)$ satisfying $A^2+x A+y I=0$ lie on a hyperbola, whose transverse axis is parallel to the x-axis, eccentricity is e and the length of the latus rectum is $\ell$, then $\mathrm{e}^4+\ell^4$ is equal to........................... 
→
If $f(x)$ is continuous and $f\left( {\frac{9}{2}} \right) = \frac{2}{9}$, then $\mathop {\lim }\limits_{x \to 0} f \left( {\frac{{1 - \cos \,3x}}{{{x^2}}}} \right)$ is equal to:
→
Consider the circle $\mathrm{C}: \mathrm{x}^2+\mathrm{y}^2=4$ and the parabola $P: y^2=8 x$. If the set of all values of $\alpha$, for which three chords of the circle $\mathrm{C}$ on three distinct lines passing through the point $(\alpha, 0)$ are bisected by the parabola $P$ is the interval $(p, q)$, then $(2 q-p)^2$ is equal to.............
→
Let $\omega=e^{i.\pi / 3}$, and $a, b, c, x, y, z$ be non-zero complex numbers such that

$a+b+c $$ =x $ ; $a+b \omega+c \omega^2 $$ =y $ ; $a+b \omega^2+c \omega $$ =z .$

Then the value of $\frac{|x|^2+|y|^2+|z|^2}{|a|^2+|b|^2+|c|^2}$ is

→
The value of $36(4 \cos ^2 9^{\circ}-1)(4 \cos ^2 27^{\circ}-1)  (4\cos ^2 81^{\circ}-1) (4 \cos ^2 243^{\circ}-1)$ is
→
$\sum \limits_{ k =0}^6{ }^{51- k } C _3$ is equal to
→
If $\cos (\alpha - \beta ) = 1$ and $\cos (\alpha + \beta ) = \frac{1}{e}$, $ - \pi < \alpha ,\beta < \pi $, then total number of ordered pair of $(\alpha ,\beta )$ is
→
Radius of circle touching $y-$axis at point $P(0,2)$ and circle $x^2 + y^2 = 16$ internally-
→
The partial fractions of ${{{x^2}} \over {{{(x - 1)}^3}(x - 2)}}$ are
→