The number of possiblities is given by the combinations of 5 blue block taken at 1
![5C1](https://img.qammunity.org/2023/formulas/mathematics/college/frktf9l1y9gcewex6a8lswa7z22qt6mnr4.png)
where 5C1 denotes the combinations of 5 blue block taken at 1 time. Then, we have
![5C1=5](https://img.qammunity.org/2023/formulas/mathematics/high-school/4s38ns699ggisrh2cks3fxqrymmpuhbscr.png)
then, we will expect 5 times form the total of 12.
Similarly, for the other case (number of times = 24), we will get
![2*5C1=2*5=10\text{ times}](https://img.qammunity.org/2023/formulas/mathematics/college/3wqvok0cutvyqynmwj0kno0y77p5ac4sfb.png)
that is, we will double the number of times.