We have two coins: one is a fair coin and the other is a coin that produces heads with probability 3/4. one of the two coins is picked at random, and this coin is tossed n times. let sn be the number of heads that turns up in these n tosses. does the law of large numbers allow us to predict the proportion of heads that will turn up in the long run? after we have observed a large number of tosses, can we tell which coin was chosen? how many tosses suffice to make us 95 percent sure? g