A manufacturer of sports cars enters 3 drivers in a race. Let Al be the event that driver 1 "shows" (that is, he· is among the first 3 drivers in the race to cross the finish line), let A2 be the event that driver 2 shows, and let A3 be the event that driver 3 shows. Assume that the events A1, A2, A3 are independent and that P[A1] = P[A2] = P[A3] = 0.1. Compute the probability that (i) none of the drivers will show, (ii) at least 1 will show, (iii) at least 2 will show, (iv) all of them will show.