Two balls are drawn at random with replacement from a box contain… - Vidyadip

Question

Two balls are drawn at random with replacement from a box containing 10 black and 8 red balls.
Find the probability that both balls are red.

✓

Answer

Given: A box containing 10 black and 8 red balls.
Total number of balls in box = 18
Probability of getting a red ball in first draw = $\frac{8}{18}=\frac{4}{9}$
As the ball is replaced after first throw,
Hence, Probability of getting a red ball in second draw = $\frac{8}{18}=\frac{4}{9}$
Now, Probability of getting both balls red = $\frac{4}{9} \times \frac{4}{9}=\frac{16}{81}$

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 "1 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

A coin is tossed three times, determine P(E|F),
where E: Head on third toss, and F: Head on first two tosses.

If a line makes angles 90° and 60° respectively with the positive directions of x and y axes, find the angle which it makes with the positive direction of z-axis.

Let A = $\left[\begin{array}{ll} {2} & {4} \\ {3} & {2} \end{array}\right]$, B = $\left[\begin{array}{ll} {1} & {3} \\ {-2} & {5} \end{array}\right]$, C = $\left[\begin{array}{cc} {-2} & {5} \\ {3} & {4} \end{array}\right]$. Find each of the following:

A + B
A - B
3A - C
AB
BA

Classify the following as scalar and vector quantities:
Displacement.

Classify the following measures as scalars and vectors.
20 m/s²

If length of three sides of a trapezium other than base are equal to 10cm, then find the area of the trapezium when it is maximum.

Write the differential equation representing the famliy of straight line y = Cx + 5, where C is an arbitrary constant.

Find the principal value of the following:
$\sin^{-1}\Big(\tan\frac{5\pi}{4}\Big)$

Find the following integrals in Exercises:

$\int\frac{2-3\sin\text{x}}{\cos^2\text{x}}\text{ dx}$

The Integrating Factor of the differential equation $\left(1-y^{2}\right) \frac{d x}{d y}+y x=a y~(-1<y<1)$ is