Find an equation of the largest sphere that passes through the point (−1,1,4) and is such that each of the points(x, y,z) inside the sphere satisfies the equation: x^2 + y^2 + z^2 < 136 + 2(x + 2y + 3z)

Margie is practicing for an upcoming tennis tournament. her first serve is good 20 out of 30 times on average. margie wants to know the estimated probability that her first serve will be good at least four of the next six times she serves. how could she design a simulation for this scenario?