Two fair dice are thrown, one red and one blue. what is the probability that the red die has a score
that is strictly greater than the score of the blue die? why is this probability less than 0.5? what is
the complement of this event?

Amass weighing 16 pounds stretches a spring 8/3 feet. the mass is initially released from rest from a point 2 feet below the equilibrium position, and the subsequent motion takes place in a medium that offers a damping force that is numerically equal to 1/2 the instantaneous velocity. find the equation of motion if the mass is driven by an external force equal to f(t)=cos(2t).