1. ## [SOLVED] Simple Probability

You have a box with 10 white and 5 black balls. What is the probability that after 5 draws you have 2 white and 3 black. I think it's $\frac{C_{10}^{2} \times C_{5}^{3}}{C_{5}^{15}}$.
Is this correct.

2. Originally Posted by fobos3
You have a box with 10 white and 5 black balls. What is the probability that after 5 draws you have 2 white and 3 black. I think it's $\frac{C_{10}^{2} \times C_{5}^{3}}{C_{5}^{15}}$.
Is this correct.
The idea is correct but be careful in your notation.
$\color{red}\frac{C_{2}^{10} \times C_{3}^{5}}{C_{5}^{15}}$.

3. ## Probability

Hello fobos3
Originally Posted by fobos3
You have a box with 10 white and 5 black balls. What is the probability that after 5 draws you have 2 white and 3 black. I think it's $\frac{C_{10}^{2} \times C_{5}^{3}}{C_{5}^{15}}$.
Is this correct.
Yes.