Download App

PROBABILITY — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPROBABILITY1 Mark
MCQ
Three identical dice are rolled. What is the probability that the same number will appear on each of them?
  • A
    $\frac{1}{6}$
  • ✓
    $\frac{1}{36}$
  • C
    $\frac{1}{18}$
  • D
    $\frac{3}{28}$
✓

Answer

Correct option: B.
$\frac{1}{36}$
Total number of cases = 6³ = 216
The same number can appear on each of the dice in the following ways:
(1, 1, 1), (2, 2, 2), ………….(3, 3, 3)
So, favourable number of cases = 6
Hence, required probability = 6/216 = 1/3

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 "MCQ" from PROBABILITY→PROBABILITY — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

$^{14}{C_4} + \sum\limits_{j = 1}^4 {^{18 - j}{C_3}} $ is equal to
→
$\text{If}\ \sin\alpha+\sin\beta=\text{a}\text{ and }\cos\alpha-\cos\beta=\text{b},\ \text{than }\tan\frac{\alpha-\beta}{2}=$
→
If slope of a line is 4 and y-intercept made by the line is 2 then the equation of line will be:
→
Axis of the parabola ${x^2} - 4x - 3y + 10 = 0$ is
→
The foot of the perpendicular drawn from the origin, on the line, $3x + y = \lambda \,\left( {\lambda  \ne 0} \right)$ is $P$. If the line meets $x-$ axis at $A$ and $y-$ axis at $B$, then the ratio $BP : PA$ is
→
In a box, there are $20$ cards, out of which $10$ are lebelled as $\mathrm{A}$ and the remaining $10$ are labelled as $B$. Cards are drawn at random, one after the other and with replacement, till a second $A-$card is obtained. The probability that the second $A-$card appears before the third $B-$card is
→
For $(2n+1)$ observations ${x_1},\, - {x_1}$, ${x_2},\, - {x_2},\,.....{x_n},\, - {x_n}$ and $0$ where $x$’s are all distinct. Let $S.D.$ and $M.D.$ denote the standard deviation and median respectively. Then which of the following is always true
→
If $P = (1, 0) ; Q = (-1, 0) \,\,ane\,\, R = (2, 0)$ are three given points, then the locus of the points $S$ satisfying the relation, $SQ^2 + SR^2 = 2 SP^2$ is :
→
$PQ$ is a double ordinate of the parabola ${y^2} = 4ax$. The locus of the points of trisection of $PQ$ is
→
Find the sum of series $1^2+ 3^2+ 5^2+$…………………………..$+ 11^2$.
→