Download App

Probability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsProbability2 Marks
Question
Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls. Find the probability that.
Both the balls are red.
✓

Answer

Given,
Box contains 10 black and 8 red balls.
Two balls are drawn with replacement.
P (Both the balls are red)
$=\text{P}(\text{R}_1\cap\text{R}_2)$
$=\text{P}(\text{R}_1)\text{ P}(\text{R}_2)$
$=\frac{8}{18}\times\frac{8}{18}$
$=\frac{16}{81}$
Required probability $=\frac{16}{81}$

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 "2 Marks" from Probability→Probability — all question types→Maths STD 12 Science question papers→Gujarat Board STD 12 Science question papers→Gujarat Board question paper generator→

Similar questions

If f(x) = x + 7 and g(x) = x - 7, x ∈ R, write fog (7).
→
Evaluate the following integrals:
$\int\limits^1_0 \frac{1}{1+\text{x}^2}\text{ dx}$
→
Define a commutative binary operation on a set.
→
If $\text{A}=\begin{bmatrix}2 & 3 \\4 & 5 \end{bmatrix},$ prove that A - AT is a skew symmetric matrix.
→
If $\begin{bmatrix}\text{x}+3&4\\\text{y}-4&\text{x}+\text{y} \end{bmatrix}=\begin{bmatrix}5&4\\3&9 \end{bmatrix},$ find x abd y
→
Let R = {(a, a3): a is a prime number less than 5} be a relation. Find the range of R.
→
Evaluate the following integrals:

$\int\frac{\text{e}^\text{x}}{\sqrt{16-\text{e}^{2\text{x}}}}\text{ dx}$

→
If $\begin{vmatrix}3\text{x}&7\\-2&4\end{vmatrix}=\begin{vmatrix}8&7\\6&4\end{vmatrix},$ find the value of x.
→
Write the angle between the line $\frac{\text{x}-1}{2}=\frac{\text{y}-2}{1}=\frac{\text{z}+3}{-\text{2}}$ and the plane x + y + 4 = 0.
→
If a matrix has 5 elements, write all possible orders it can have.
→