Run a computer simulation for flipping 1,000 virtual fair coins. Flip each coin independently 10 times. Focus on 3 coins as follows: ** c1 is the first coin flipped, ** crand is a coin chosen randomly from the 1,000, and ** cmin is the coin which had the minimum frequency of heads (pick the earlier one in case of a tie).
- Let ν1, νrand, and νmin be the fraction of heads obtained for the 3 respective coins out of the 10 tosses.
Run the experiment 100,000 times in order to get a full distribution of ν1, νrand, and νmin (note that crand and cmin will change from run to run).