Answer to Question #24366 in Statistics and Probability for Dawn

Question

Christmas tree lights are used not only for Christmas trees but sometimes to decorate collegte doorm rooms. Suppose that a string has 20 light bulbs these lights are all wired in a series, so that if one light bulb fails, the whole string fails. The probability that any one light fails is 0.02. Each of the individual lights are independent of each other. What is the probability that the string will not fail?