$1.$ Describe a recursive algorithm for multiplying two nonnegative integers x and y based on the fact that xy $=2($x $($y$2))$ when y is even and xy $=2($x y$2)+$ x when y is odd, together with the initial condition xy $=0$ when y $=0.$

$2.$ An octahedral die has eight faces that are numbered $1$ through $8.$ What is the probability of getting a number between $3$ and $5($inclusive$)$ when a fair octahedral die is rolled? If you roll it three times and sum the result each time, what is the most likely result?