The roll of a dice is random only abstractly. A real dice will always only have one outcome. Unless you don't believe in causality!

When you haven't got tools to measure each individual element that will determine the outcome, then you pull back and measure averages during many throws of the dice. That's what happens with quantum physics: I think we just haven't got the right tools yet, so we're only seeing a fuzzy picture and can make only broad generalizations.