The example in this section described a prize wheel divided into 12 equal-sized sectors where 8 are marked no prize, 3 are marked win $1, and 1 is marked win $25. We will call this wheel A. Suppose you had a similar wheel (which we’ll call wheel B) that had 12 sectors: 2 of the sectors marked no prize, 1 marked win $1, and 9 marked win $3. 

a. Find the expected payout for wheel B. How does it compare to the expected payout of wheel A? 

b. Find the standard deviation for the payout for this wheel. How does it compare to the expected payout of wheel A? 

c. If you were given a free spin on one of the wheels, which would you choose to spin and why?