17.1 Coin tossing and randomness. Toss a coin 10 times and record heads (H) or tails (T) on each toss. Which of these outcomes is most probable? Least probable?
HTHTTHHTHT TTTTTHHHHH HHHHHHHHHH
17.1. As long as the coin is fair so that heads and tails are equally likely, all three sequences of 10 particular outcomes are equally likely, even though the first one looks the most “random.” Each sequence of 10 particular outcomes has a probability of (12)10=11024.