Labels:text | font | screenshot | document OCR: b. Let Vp be the volume of the prism and let V, be the volume of the tank, which we are seeking. If a point is randomly chosen inside the prism, express the probability that is is also inside the tank, in terms of Yp and V. Solution: This probability is equal to V, /Vp , the ratio of the volume of the tank to that of the surrounding prism. c. If N points are chosen at random inside the prism and I of these points are also inside the tank, express V, in terms of N, I, and Vp. Solution: The probability that I points are in the tank out of the N points chosen randomly inside the prism is approximated by IIN. So we get I/N = V, / Yp , giving Vt = Yp ( I/N).
