You can use Math.random() to generate a Double in the range [0,1), so you need to do:
text.setOpacity(Math.random());
Color took a little more digging through the docs, but can be accomplished with:
text.setFill(Color.color(Math.random(), Math.random(), Math.random());
setFill comes from Shape, which Text inherits from. setFill takes a Paint, which Color is the simplest implementation of. Color.color(double, double, double) takes the rgb value with doubles in the range [0,1].
Learn how to navigate through the docs and you'll be able to find these sorts of things on your own quickly in the future!
Note: opacity/rgb color all take doubles of the range [0,1] where Math.random() produces in the range [0,1). If you're unfamiliar with this notation, this means Math.random() will NEVER produce 1, only a number smaller than 1 by possible accuracy. This means that you will never have a 100% fully opaque/r/g/b with this method but in reality you probably can't tell the difference, so it's better to use the less complicated method.
Note 2: javafx.scene.paint.Color#color actually provides a four-argument constructor that includes opacity, but I would recommend setting the opacity of the Text node itself as above rather than the opacity of the Paint.