If you have answer to any problem and would like to share it, please send your answer to the provider of the problem, if your answer is correct, we will have it posted. Every woman in a village knows instantly when another's husband is unfaithful but whether her own is. Each woman is completely intelligent and knows that every other woman is too. The law of the village demands that when a woman can prove that her husband has been unfaithful, she must shoot him before sundown the same day.
Every woman is completely law-abiding.
One day the mayor announces that there is at least one unfaithful husband in the village. The mayor always tells the truth, and every woman believes her. Without using a calculator, only the knowledge from the first quarter calculus, determine which is larger, or . There are five types of coupons. Each coupon obtained is independent of what has been previously obtained and equally likely to be any of the five types.