Flipping Coins

  1. Think about the distribution of coin flips and their probability. For H assign a value 1, for T, a value of -1. Now considering what you remember about the properties of the distribution (do not perform any calculations or coin flips), predict your score after:
    • 1 flip
    • 2 flips
    • 4 flips
    • 10 flips
    • 100 flips
  2. Now calculate the standard deviation for the above cases. You may have to calculate this for 1, 2, and 4, but seeing the pattern that is emerging, can you make a reasoned guess for 10 and 100.