A marker in a game is constrained to move along a one-
dimensional grid. It begins at 0 and moves according to a
coin flip: left for heads, right for tails. After 3 flips it will be
either 1 step away from its starting point or 3 steps away.
A. How many different sequences of 3 coin flips will lead to the coin ending at −1?
B. After three coin flips, what is the ratio of the probabilities that the marker will be 1 step
away versus 3 steps away? That is Prob 1 step
Prob 3 steps.
a. 1 b. 1/3 c. 3 d. 0
C. After three coin flips, what is the probability that the marker is at the starting position, 0?
a. 0 b. 0.33 c. 0.5 d. 0.67 e. 1
D. Assuming you had 100 markers, and performed 3 flips for each marker moving them
according to the above rules, which of the following would be true about the distribution of
markers? Select all that apply
a. All the markers would be at the starting position
b. More markers would be at the starting position than any other location
c. The most markers would be at ±1, and there would be no markers at the starting location.
d. There would be exactly equal numbers of markers to the left and to the right of the starting
position
e. The average distance from the origin of the markers would be a number between 1 and 3.