Three darts players have respective probabilities p1, p2, p3 of hitting the center of the dartboard. Each of them shoots against the target once and then we examine how many of them hit the center. Find the probability that the third player found the center if the number of darts found there is (i) one; (ii) two.

Give a numerical answer in each case assuming that p1 = 0.3, p2 = 0.4, and p3 = 0.5.