Respect Yinyin and HF for their deep knowledge in probability theory. Many thanks for your time to provide the solution here. I tried to solve the problem and got the answer as 33/182. Now I know I was wrong. Maybe Yinyin and HF don't think it is neccessary to do a simulation, but I did it with SAS. I generated 10000 samples and 6796 of them include all 5 items, so the probability is 0.6796, which is very close to the calculation by Yinyin and HF. I think this is a very good problem with exellent solution. I suggest Yinyin post the problem and answer in a different string without those argument posts.www.ddhw.com
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