Applying the method of Buffon’s needle, we get the approximation for pi in our case
Applying the method of Buffon’s needle, we get the approximation for pi in our case
3. Using a surface fraction argument
3. Using a surface fraction argument
A method that is easier to understand and does not make use of the sin function is based on the fact that if X ∼ U(0, 1) and Y ∼ U(0, 1), then P[X2 + Y2 ≤ 1] = π/4 . The following code uses this approach:
A method that is easier to understand and does not make use of the sin function is based on the fact that if X ∼ U(0, 1) and Y ∼ U(0, 1), then P[X2 + Y2 ≤ 1] = π/4 . The following code uses this approach:
