3.47 A stock market analyst claims expertise in picking stocks that will outperform the corresponding industry norms. This analyst is presented with a list of 5 high-technology stocks and a list of 5 airline stocks, and she is invited to nominate, in order, the 3 stocks that will do best on each of these 2 lists over the next year. The analyst claims that success in just 1 of these 2 tasks would be a substantial accomplishment. If, in fact, the choices are made randomly and independently, what is the probability of success in at least 1 of the 2 tasks merely by chance? Given this result, what do you think of the analyst’s claim?