You are working on a slot machine for your company. The slot machine uses a three drum design. A person pulls the lever and the drums begin to spin. Each drum is designed to stop at random in one of 12 resting positions. The resting positions include: 1 cherry, 1 bell, 1 lemon, 1 bar, 1 seven, and 7 blank spaces. Each position has an equal probability and each drum’s outcome resting position is independent of the other two. Use this information to answer the following questions (make sure to provide your work and code used to complete the assignment)

Big Payout

The big payout occurs if all the drums land on cherries. What is the probability that this occurs?

Small Payout

A lesser payout occurs if any of the other symbols listed above occur on all drums. (Examples (bell)(lemon)(bar)=small payout, (cherry)(bar)(seven)=small payout,(cherry)(blank)(bar)=no payout). What is the probability of a small payout occuring.

Payout amount

If the big payout is $1000 and the game costs $2 to play what is the cost of the small payout if the net profit for the casino = 0.

Simulation

Create a function to simulate this slot maching and provide your code and results. How many big payouts were there? Does this match your probability projection? How many small payouts were there? Does this match your probability projection? How many losses were there?