Question:medium

A bag contains 5 red and 4 black balls. Three balls are drawn at random from the bag. The probability that two of them are red and one is black is:

Show Hint

Always simplify combinations first: $^{5}C_2 = 10$ and $^{9}C_3 = 84$. This makes dividing $\frac{40}{84}$ to get $\frac{10}{21}$ straightforward.

Updated On: May 31, 2026

$\frac{5}{21}$
$\frac{10}{21}$
$\frac{5}{14}$
$\frac{25}{84}$

Show Solution

The Correct Option is B

Solution and Explanation

Was this answer helpful?

0

Top Questions on Probability

Questions Asked in AP EAPCET exam

Let \[ f(x)=\int \frac{\sqrt{x}}{(1+x)^2}\,dx \quad (x\geq 0) \] Then \[ f(3)-f(1) \] is equal to:

AP EAPCET - 2026
Definite and indefinite integrals

Gas is being pumped into a spherical balloon at the rate of $ 30 \, \text{ft}^3/\text{min} $. Then the rate at which the radius increases when it reaches the value $ 15 \, \text{ft} $ is:

AP EAPCET - 2026
Differentiation

Let the function $ f(x) $ be defined as $ f(x) = \frac{x - |x|}{x} $, then:

AP EAPCET - 2026
Definite and indefinite integrals

If the direction ratios of two lines are given by $ l + m + n = 0 $ and $ mn - 2ln + lm = 0 $, then the angle between the lines is:

AP EAPCET - 2026
3D Geometry