試題詳解

238. Skateboarders A and B practice one difficult stunt until becoming injured while attempting the stunt. On each attempt, the probability of becoming injured is p, independent of the outcomes of all previous attempts.

Let F(x, y) represent the probability that skateboarders A and B make no more than x and y attempts, respectively, where x and y are positive integers.

It is given that F(2, 2) = 0.0441.

Calculate F(1, 5).
(A) 0.0093
(B) 0.0216
(C) 0.0495
(D) 0.0551
(E) 0.1112