A box has 1024 fair and 1 two-headed coin. You pick a coin randomly, make 10 flips and get all H. (a) You flip the same coin you
picked 100 times. What is the expected number of H? (b) You flip the same coin you picked unitl you get H. What is the expected number of flips you make?
The probability is just 1/2 that the disc will result with the white side landing up.
There are two sides to the disc. If they are equally likely to happen, then the chance of either side is 1/2. It does not matter which number the flip is.