Download App

PROBABILITY — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSPROBABILITY1 Mark
MCQ
A bag contains 5 brown and 4 white socks. Ram pulls out two socks. What is the probability that both the socks are of the same colour?
  • A
    9/20
  • B
    2/9
  • C
    3/20
  • ✓
    4/9
✓

Answer

Correct option: D.
4/9
Total number of socks = 5 + 4 = 9
Two socks are pulled.
Now, P(Both are same colour) = (5C2 + 4C2)/9C2
= {(5×4)/(2×1) + (4×3)/(2×1)}/{(9×8)/(2×1)}
= {(5×4) + (4×3)/}/{(9×8)
= (5 + 3)/(9×2)
= 8/18
= 4/9

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

Let $A$ be the point $(1,2)$ and $B$ be any point on the curve $x^2+y^2=16$. If the centre of the locus of the point $P$, which divides the line segment $A B$ in the ratio $3: 2$ is the point $C(\alpha, \beta)$, then the length of the line segment $AC$ is
→
$(13)^{507}$ when divided by $9$ leaves the remainder :-
→
If $z = {\left( {\frac{{\sqrt 3 }}{2} + \frac{i}{2}} \right)^5} + {\left( {\frac{{\sqrt 3 }}{2} - \frac{i}{2}} \right)^5}$, then
→
A solution of the equation $\cos^2\text{x}+\sin\text{x}+1=0,$ lies in the interval:
→
The sum of the digits in the unit's place of all the $4-$ digit numbers formed by using the numbers $3, 4 , 5$ and $6$, without repetition, is
→
If ${x^2} + ax + 10 = 0$ and ${x^2} + bx - 10 = 0$ have a common root, then ${a^2} - {b^2}$ is equal to
→
If $z$ is a complex number such that $\frac{{z - 1}}{{z + 1}}$ is purely imaginary, then
→
If the coefficent of $x^2$ in the expansion of $(1+x)^m$ is 6 then $m=$ $\qquad$
→
If $a,\,b,\,c$ are three unequal numbers such that $a,\,b,\,c$ are in $A.P.$ and $b -a, c -b, a$ are in $G.P.$, then $a : b : c$ is
→
$1 + \frac{3}{2} + \frac{5}{{{2^2}}} + \frac{7}{{{2^3}}} + ......\,\infty \,$ is equal to
→