To determine the expected probability of randomly selecting a red cube from the bag, you can use the formula for probability, which is the number of favorable outcomes divided by the total number of outcomes.
In the context of the colored cubes:
- The number of times the red cube was selected is 24.
- The total number of selections made is 80.
The probability \( P(\text{Red}) \) is calculated as follows:
\[ P(\text{Red}) = \frac{\text{Number of times Red was selected}}{\text{Total number of selections}} = \frac{24}{80} \]
Now, simplify the fraction:
\[ P(\text{Red}) = \frac{24 \div 8}{80 \div 8} = \frac{3}{10} \]
Thus, the expected probability of randomly selecting a red cube from the bag in one attempt is \( \frac{3}{10} \) or 0.3.