Minimum of three beta variables

Let $X_1,X_2,X_3$ be independent and identically distributed random variables with common probability density function $f(x) = \begin{cases} 2x & \text{if } 0 < x < 1 \ 0 & \text{otherwise.} \end{cases}$ Then $P(\min\{X_1, X_2, X_3\} \ge E(X_1))$ equals ________ (rounded off to two decimal places).