Answer:
or

Explanation:
Given



Required
Determine the probability of selecting Black and Red
First, we need to calculate the number of red and black balls
The probability is calculated as thus:

Convert to mathematical expressions
![Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]](https://img.qammunity.org/2021/formulas/mathematics/college/ldtrf2ov4l8356lpbfgaf07naz79takf2m.png)
Solve for each probaility;


So, we have:
![Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]](https://img.qammunity.org/2021/formulas/mathematics/college/ldtrf2ov4l8356lpbfgaf07naz79takf2m.png)
![Probability = [(25)/(100) *(40)/(100)] + [(40)/(100) *(25)/(100)]](https://img.qammunity.org/2021/formulas/mathematics/college/85oah5l6aq9g7dxl6skkzw5jm12hkt0hba.png)
![Probability = [(1000)/(10000)] + [(1000)/(10000)]](https://img.qammunity.org/2021/formulas/mathematics/college/2txj2t8zwtkqvvuusi0wcn4x10dvhmh4zb.png)
![Probability = [(1)/(10)] + [(1)/(10)]](https://img.qammunity.org/2021/formulas/mathematics/college/m60w4jl6mu2p34eopu69g6z2o9lqzndkp6.png)



or
