Determine the Probability of an Outcome of the Probability Density $f ( x ) = 12 x ^ { 2 } - 12 x ^ { 3 }$

Short Answer

Determine the probability of an outcome of the probability density function $f ( x ) = 12 x ^ { 2 } - 12 x ^ { 3 }$ being between $\frac { 1 } { 2 } \text { and } 1$ where $0 \leq x \leq 1$ .
Enter just a reduced fraction.